Why does Hamlet delay? Give three instances and the reasons in his own language.

That's the timeless question of the play.  At the end of
Act 1, Hamlet accepts his ghost-father's command to get revenge against Claudius because
Claudius killed Hamlet's father. In Act 1, sc. 5, Hamlet tells Horatio, "It is an honest
ghost-". Later, though, in Act 2, sc. 2, Hamlet says, "The spirit I have seen / May be a
devil, and the devil hath power / T'assume a pleasing shape..." which indicates that
Hamlet isn't sure the ghost he spoke to was truly the spirit of his dead father and
that's the reason he hasn't carried out his revenge.  He goes on to say that he will
have the players perform a re-enactment of the killing as described by the ghost. 
Later, in Act 3, sc. 3, when Hamlet has seen by the king's reaction that he is guilty of
what the ghost described, Hamlet has the opportunity to kill Claudius when Claudius is
all alone in the chapel.  Hamlet doesn't kill him though because, as he says in lines
72-78, if he kills Claudius while Claudius is prayer, Hamlet fears Claudius's soul will
go to Heaven and Hamlet does not want that.  He wants Claudius's soul to go to hell.  In
Act 4, sc. 4, Hamlet once again rails against himself and his lack of action saying that
he is not sure why he has delayed except that he overthinks the situation: "...Now
whether it be / Bestial oblivion or some craven scruple / Or thinking too precisely on
th' event....".  Even Hamlet does not seem to be clear about why he delays in getting
revenge.

Calculate lim (x-2)/(x^2-4), x->2.

To calculate the limit, we'll apply the dividing out
technique.

We'll apply the direct substitution, by
substituting the unknown x, by the value 2 and we'll see that it fails, because both,
numerator and denominator, are cancelling for x=2. That means x=2 is a root for both,
that means that (x-2) is a common factor for both.

We'll
write the denominator using the
formula:

a^2-b^2=(a-b)(a+b)

x^2-4
= (x-2)(x+2)

Now, we'll evaluate the
limit:

lim (x-2)/(x^2-4)= lim
(x-2)/(x-2)(x+2)

Now, we can divide out like
factor:

lim (x-2)/(x^2-4) = lim
1/(x+2)

We can apply the replacement theorem and we'll
get:

lim 1/(x+2) = 1/(2+2) =
1/4

So, lim (x-2)/(x^2-4) =
1/4

What would be a strong thesis about blackmail in A Doll's House?I need some suggestions for writing a paper.

It is Krogstad's blackmail that drives the play to its
dramatic climax and conclusion; therefore, it is certainly an important element in the
play. In considering a thesis, think of the irony in Nora's being blackmailed. What at
first seems to her to be a terrible disaster turns out to be the force that finally
frees her from an empty marriage and a meaningless life. Krogstad's blackmail leads
directly to Nora's realizing the truth about Torvald's character. Her husband, she
realizes, is a completely self-centered man who does not love her or feel any concern
for her, at all. Had she not been blackmailed by Krogstad, Nora might never have
discovered the truth and found a new life. Ironically, blackmail in the drama proves to
be Nora's path to freedom, self-respect and personal fulfillment, a blessing in
disguise.

Immediately after Lennie touched the girl's dress, George and Lennie run from the police. What are Lennie's surroundings?

In the novel and the film, the incident takes place in
Weed. This is a small town where George and Lennie were formerly working. It is not so
different from Soledad, and hints to the reader that the two men have been travelling
through many such towns in the California dust bowl, trying to scrape together a
life.

We are told that straight after Lennie has touched
the girl's dress, the girl complains to the police that she had been raped. Lennie - and
George by association - are being pursued by a lynch mob. They hide until they can get
away-

So we sit in a irrigation ditch under water
all the rest of that day. Got on'y our heads sticking outa water, an' up under the grass
that sticks out from the side of the ditch.

Is the lack of physical resistance consent?

I assume that you are asking about sexual intercourse and
rape here.  If so, the answer to this question depends on the state whose laws you are
studying.

In years past, a lack of physical resistance was
always taken as a sign of consent.  A man could not, for example, be convicted of rape
if the woman he was accused of raping had not physically resisted him.  As the link
below says, before the 1970s or so,

readability="6">

A man would not be convicted of rape of a
competent woman unless she had demonstrated some physical
resistance.

However, in the
years since then, many states have changed their laws on this subject.  In those states,
the laws now say that a person can simply resist verbally.  As the link
says,

In the
early 2000s in many states, the prosecution can prove lack of consent by presenting
evidence that the victim objected verbally to the sexual penetration or sexual
intrusion.

There is no rule
at present that applies to all states.  States may have their own laws on this matter,
but there are still states where a lack of physical resistance is taken as consent. 
Once more to quote from the link

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The states that have not eliminated physical
resistance as a test for lack of consent have declined to do so for fear of convicting
an adult who has sex with another adult without the knowledge that he or she is not
consenting.

Even in such
states, however, it is sometimes possible to get a conviction for rape when the victim
has only resisted verbally.  A lack of physical resistance is not a complete indicator
of consent even in those cases.

In The Odyssey, how do Odysseus's men justify their crime of killing Lord Helios's cattle?

Odysseus' men have been hungry for a month. They argue
that they are going to die from starvation if they do not eat the cattle of Lord Helios.
That death by starvation would be a painful and slow death. Thus, if they ate the
cattle, not only would their tummies be full and satisfied, but their death by Lord
Helios would probably come about more quickly. Their rationalization had everything to
do with dying in the most comfortable way possible with the least opportunity for
suffering.

This occurs while Odysseus is praying away from
the men. Therefore, he has no way to stop them although he had warned them not to eat
the cattle prior to going off to pray.

On the same axes, sketch the graph of y = sin x and y= cos x . Find all the points of intersection.

It isn't possible for me to sketch the graphs that you
require here. The points of intersection can be determined in the following
way.

To find the points of intersection of the x-axis with
y = sin x, equate y = sin x = 0. We get x = arc sin 0 = 0 and pi. As the sine function
is periodic. The graph intersects the x-axis at all points given by (2*n*pi , 0) and (pi
+ 2*n*pi , 0)

Similarly the graph y = cos x intersects the
x-axis at (pi/2 + 2*n*pi, 0) and (3*pi/2 + 2*n*pi , 0)

y =
sin x intersects the y-axis at (0 , 0) and y = cos x intersects the y-axis at (0,
1).

The two graphs intersect each other at x corresponding
to sin x = cos x

=> tan x =
1

=> x = arc tan
1

=> x = pi/4

The
points of intersection of the two graphs are (pi/4 + 2*n*pi, 1/sqrt 2) and (5pi/4 +
2*n*pi , -1/sqrt 2)

y = sin x intersects the
x-axis at (2*n*pi , 0) and (pi + 2*n*pi , 0). y = cos x intersects the x-axis at (pi/2 +
2*n*pi, 0) and (3*pi/2 + 2*n*pi , 0).

y = sin x intersects the
y-axis at (0 , 0) and y = cos x intersects the y-axis at (0, 1).

The points of intersection of
y = sin x and y = cos x are (pi/4 + 2*n*pi, 1/sqrt 2) and (5pi/4 + 2*n*pi , -1/sqrt
2)

How were deific images painted or sculpted in human form useful to ancient Egyptians and Sumerians?

I am reminded of Voltaire's comment that in the beginning,
God created man in his own image; and since that time, man has attempted to return the
complement. Deific images were painted or sculpted in a form by which the Egyptians and
Sumerians could understand the strengths and attributes of theparticular deity. Baal,
the Sumerian god of the storm had the attributes of a man and a bull. Astarte, the
female goddess of fertility was often shown pregnant. Egyptian Gods also had human as
well as animalistic forms. Horus was shown with the head of a hawk; as the hawk has
sharp eyes. These early civilizations saw the need for their Gods to have eyes to see;
legs to walk, and ears to hear. Since they often imputed human emotions and elements to
their Gods, they depicted them in human form. At the same time, they attributed some
animal attributes to them, and therefore depicted them with certain animal
features.

Solve the inequality x^square root x=

Please consider this answer though
late:

To solve for x^(sqrtx) =<
(sqrtx)^x.

We square both sides x^(2x^1/2) =<
{(sqrtx)^x}^2

=> x^(2x^1/2) ={
x(1/2)}2x

=> x^(2x^1/2) =<
x^x.

There are 3 cases when the above inequality holds.:
x< 1 , x= 1 and x > 1. We compare the powers of both sides in 3
cases:

The inequality holds under the following
situations:

2x^1/2 > or= or < x,
according as x < 1 or x = 1 or x>
1.

=> 4x > or = or < x^2 according as
x <1 or x= 1or x> 1.

x^2-4x < 0. Or
x(x-4) < 0 when 0 < x <1. This gives x<4 and x< 1.
So 0 < x <1, the inequality
holds.

x^2-4x = 0 when x = 0. This gives
x= 0, the equality
holds.

x^2-4x >0. Or x(x-4) >
0 when x>1. This gives x > 4 the inequality
holds.

Check:

When
0 < x< 1:  Put x = 1/9 in x^square root x=<(square root x)^x. LHS =
(1/16) sqrt(1/16)) = (1/16)^(1/4) = 1/2. RHS = {sqrt(1/16)}^(1/16) = (1/4)^1/16) =
0.917. So LHS < RHS.

When x = 1,x^square root
x=<(square root x)^x becomes 1^(sqrt1) = (sqrt1)^1
obviously.

When x > 4,  we put x= 16 in x^square
root x=<(square root x)^x and get LHS 16^(sqrt16)  = 16^4 = 4^8. RHS =
(sqrt16)^16 = 4^16. So LHS =< RHS.

So
the given inequality x^square root x < (square root x)^x holds when  0 <
x< 1 or when x > 4 and the equality, x^square root x = (square root x)^x
holds when x= 1.

How does Iago manipulate Cassio after the lieutenant's humiliating dismissal?

After he is dismissed from his position as Othello's
lieutenant, Cassio is primarily concerned with his newly-tarnished reputation.  Iago,
recognizing Cassio's vulnerability and desperation to win back Othello's favor, decides
to council Cassio regarding the best way to reconcile with the
general.

Iago's advice, when taken at face value, is good;
he advises Cassio to seek Desdemona's help, observing that she always goes above and
beyond to help someone who asks her to do so:

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She is so free, so kind, so apt
so

Blessed a disposition, she holds it a vice in her
goodness

Not to do more than is
requested.

Iago further
describes the influence Desdemona has on Othello, and assures Cassio that all will be
well if he follows Iago's suggestions.

At the same time,
though, Iago plans to tell Othello that Cassio is "too familiar" with Desdemona--an
accusation that he knows will inevitably drive Othello into a fit of jealousy.  At the
end of Act 2, Iago justifies his actions in a
soliloquy:

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And what's he then that says I play the
villain?

When this advice is free I give and
honest,

Probal to thinking, and indeed the
course

To win the Moor
again?

Ultimately, Iago's
plan is clearly a manipulation of Cassio--as well as the other characters
involved.

What is an explanation of "London After the Great Fire, 1666"?

In Dryden's poem "London After the Great Fire, 1666"
Dryden personifies the burnt city explaining the processes by which "she" must do
so.

Personification is the giving of non-human/ non-living
things characteristics and attribues commonly held by mankind alone. For example, "the
wind sings" is an example of personification given that the wind (a non-human/non-living
object) is described as singing (something humans have the ability to
do).

In regards to the poem, Dryden describes the city of
London as"laboring with a mighty fate", "she shakes the rubbish from her mounting brow",
and "she from her fire does rise."

This speaks to the
human-like powers that the city of London possesses so that she can insure her survival
and rebirth.

At the end of the poem, Dryden
states:

The
venturous merchant who designed more far/ And touches on our hospitable shore,/ Charmed
with the splendor of this northern star,/ Shall here unlade him and depart no
more.

This states the fact
that Dryden knows that London offers people something no other city can. Once the
merchant "unlades" (unloads) his cargo, he will choose to stay in London given her
ability to overcome all else. The merchant, therefore, sees London as possessing the
attributes one would align with the ability to succeed.

Analyze and demonstrate the ideological perspectives reflected in the following source. Please explain in detail."I think experience will teach you...

In my mind, the quotation brings out much in way of a
centrist position on political reality.  The quotation makes the argument that
individuals have to find a balance between Progressivist liberal values and
Conservatively bound traditional notions of the good.  Centrism seeks to bring a
moderation to both, which is what I see in the quotation.  From a position of ideology,
the quote seems to be bringing out the idea that there is a "defined ideology in the
center."  In this case, the "center" is an approach that comes out of both polarities. 
With the quotation, these are deemed "Conservative" and "Liberal."  The centrist
ideological approach does not force a rejection of either side, but rather brings it out
in the expresison of the middle. At the same time, I think that the quote is also quite
pragmatic and politically practical in its assertion.  There is broader appeal to the
centrist approach as opposed to appealing to one polarity, thereby alienating the
other.  This ideological approach is also apparent in the
quotation.

Describe an example of a picaresque novel in British Literature from the Victorian Era.

First, let’s orient to the question with some background.
The picaresque tradition is an innovation in literature coming from Spain in the early
1600s. In Spanish, picaro means rogue and
gives the definition to picaresque stories. These are about a roguish hero (rogue:
wanderer and scoundrel who is unprincipled and deceitful) who wanders about and has
adventures involving individuals from all social levels and of all types: from
aristocrats to thieves and from swindlers to the just.

The picaresque
in British literature was influenced by Defoe's Robinson Crusoe
(1719), which was influenced by Cervantes' much earlier Don Quixote
(1615). Both had roguish heroes who wandered and encountered all manner of individual
and had all manner of adventure. Defoe modified the picaresque characteristics by making
the hero more idealised and more chivalric, more like the knight-errant heroes of
medieval courtly romance stories, which the picaresque was developed in reaction to. The
last true Spanish style picaresque work is often recognized by critics to be
Gil Blas written by French author Alain-René Lesage in accordance
with the Spanish picaresque tradition.

The idealization introduced by
Defoe--which became the basis for the heroes of the developing novel--carried in to the
Victorian era. As a result, when Dickens, a Victorian writer, penned an example at the
start of the Victorian era of a picaresque story, The Pickwick
Papers, Pickwick wasn't a very bad scoundrel, only a comically foolish rogue.
In the story, Pickwick starts out on an adventure to collect data bout life. At the
first step away from the home curb, he and his two companions are attacked by angry cab
drivers. This begins his picaresque story of wanderings that begin in Rochester; of
adventures and encounters with questionable people; and of encounters with people of all
ranks and dispositions in life. Each unfolds in an episodic structure  (i.e.; occurring
in episodes); each depends upon Pickwick’s quick wits--which may have been a bit slower
than desirable; each reveals new levels of cunning and deceit and
trickery.

When Hester and her husband recognize each other in chapter III, what tone do you feel was used: Foreboding, ironic, agitated, elegiac, or...

As Hester Prynne stands in ignominy upon the scafford in
Chapter III of The Scarlet Letter, the vision of a man arrests her
attention.  In fact, she is obviously agitated by the sight of him as she clutches her
baby to her bosom with so much force that the baby cries in
pain.

The arrival of her husband, who has been presumed
lost for years sends a presentiment, or sense of forebodying, through Hester, who
wonders why he has appeared.  Hawthorne writes,

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Very soon, however, his look became keen and
penetrative.  A writhing horror twisted itself across his features, like a snake gliding
swiftly over them, and making one little pause, with all its wreathed intervolutions in
open sight.  His face darkened with some powerful emotion, which, nevertheless, he so
instantaneously controlled by an effort of his will, that, save at a single moment, its
expression might have passed for
calmness.

When Hester looks
toward him, he gains control of his emotions and calmly lifts his finger and lays it
upon his lips. Then, he inquires of a townsman about the woman and how she came to be
upon the scaffold.  After hearing Hester's history, Chillingworth tells the
stranger,

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"Thus she will be a living sermon against sin,
until the ignominious letter be engraved upon her tombstone.  But he will be known!--he
will be known!--he will be
known!"

As all this
transpires, Hester fixes her gaze upon her husband.  She thinks that if she has to talk
with him on such a hot day, it will be "terrible." 

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Dreadful as it was, she was conscious of a
shelter in the presence of these thousand
witnesses.

Clearly, there is
a foreboding in Hester Prynne at the sight of her husband; she wonders what he will do
to her or to her child.

What effect does the point of view have on the story?

The narrator of Virginia Woolf's short story, "A Haunted
House", is most probably a married woman who is living in a house formerly occupied by
the ghost couple when they were living.  Virginia Woolf is most notably known by her
stream of consciousness narration.  This means that the thoughts and emotions of the
narrator flow from one to the next.  The effect it has on this story is two-fold: one,
the reader experiences the thoughts and feelings of the ghosts through the narrator;
two, the reader also gets the thoughts and feelings of the actual narrator.  I believe
Woolf approached the point of view of this story in this way because it conveys the lack
of fear the narrator feels toward the ghosts, and the connection she has with
them. Sometimes the thoughts of the narrator are intertwined with those of the
ghosts. Also, while one expects the story to be "scary" because of the title, the ending
of the story, when the narrator realizes the ghosts have found the love they lost
through death in the relationship she shares with her husband.  It's actually a very
touching and heartwarming story. 

What are three character traits of Juliet, with quotes (and line numbers) to support the traits from Romeo and Juliet by Shakespeare?

While Juliet possesses the tragic impulsiveness of Romeo
in Shakespeare’s play, she has the sterling traits of caution and loyalty. In addition,
she is of a passionate nature, which while good, does at times work to her
detriment.

CAUTIOUS
In the first act when her
Lady Capulet asks Juliet to consider Paris as a husband, Juliet wisely exerts, caution;
she merely promises to look at the man:

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I'll look to like, if looking liking
move;
But no more deep will I endart mine eye
Than your consent
gives strength to make it
fly.

She also urges Romeo to
not to swear his love by something so fickle as the
moon:

O,
swear not by the moon, the inconstant moon,
That monthly changes in her
circled orb,
Lest that thy love prove likewise variable.
(2.2.113-115)

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Do not swear at all;
Or if thou wilt,
swear by thy gracious self,
Which is the god of my idolatry,
And
I'll believe thee. 
(2.2.118-120

Then, in last
scene of this act, Juliet asks Romeo not to kiss her, but exert more restraint and
merely touch hands; she is seemingly wary of rushing into a relationship with
him:

Good
pilgrim, you do wrong your hand too much,
Which mannerly devotion shows in
this;
For saints have hands that pilgrims’ hands do touch,
And palm
to palm is holy palmers’ kiss.
(105)

LOYALTY
After
the Nurse returns from the streets of Verona where she has learned of the death of
Tybalt, she cries out both Tybalt’s and Romeo’s names, confusing Juliet. Finally when
Juliet learns the truth, she chides the Nurse for saying “Shame come to
Romeo":

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Blister'd be thy tongue (95)
For such
a wish! He was not born to shame.
Upon his brow shame is asham'd to sit;

For 'tis a throne where honour may be crown'd
Sole monarch of the
universal earth.
O, what a beast was I to chide at him!
(100)

When Lady Capulet calls
Romeo a villain, Juliet says in an aside,

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Villain and he be many miles
asunder.
God pardon him! I do, with all my heart;
And yet no man
like he doth grieve my heart. 
(3.2.84-86)

Finally in this
scene, the Nurse urges Juliet to marry Paris even though she knows that Juliet is
already married. Juliet retorts,

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Ancient damnation! O most wicked
fiend!
Is it more sin to wish me thus forsworn,
Or to dispraise my
lord with that same tongue
Which she hath prais'd him with above
compare
So many thousand times? Go, counsellor!
Thou and my bosom
henceforth shall be twain.
I'll to the friar to know his remedy.
If
all else fail, myself have power to die.
(3.5.246-253)

PASSIONATE
Juliet
displays her passionate nature in these passages:

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My bounty is as boundless as the
sea,
My love as deep; the more I give to thee,
The more I have, for
both are infinite.
I hear some noise within. Dear love, adieu! 
(2.2.139-142)

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O, bid me leap, rather than marry
Paris,
From off the battlements of yonder tower,
Or walk in thievish
ways, or bid me lurk
Where serpents are; chain me with roaring
bears,
Or shut me nightly in a charnel house,
O'ercover'd quite with
dead men's rattling bones,
With reeky shanks and yellow chapless
skulls;
Or bid me go into a new-made grave (85)
And hide me with a
dead man in his shroud —
Things that, to hear them told, have made me tremble
—
And I will do it without fear or doubt,
To live an unstain'd wife
to my sweet love.   (4.1.78-89)

What are Direct & Indirect Quotes of exchange rates?

Direct and indirect quotes is a terminology used when
foreign exchange is being bought or sold. If a person wants to buy or sell a currency,
s/he has to pay for it with the currency that s/he owns or accept payment for it in
terms of the currency that the buyer has. The number of units of currency that are
exchanged in the transaction is determined from the prevailing exchange
rate.

Direct quotes refer to
stating the cost of foreign currencies in terms of the
buyer's local currency. For example if a person in the US
wants to buy Pounds, a direct quote would let him/her know how many dollars need to be
given to buy 1 pound: the quote states the buyer's
currency.

Indirect quotes on
the other hand, reverse the two currencies. For example if a person in the UK wants to
buy US dollars s/he is given the number of seller's dollars
that can be bought with 1 pound, instead of how many pounds are needed to buy a dollar:
the quote states the seller's
currency.

Exchange rates are given as
indirect quotes in the UK, Australia, New Zealand and the
Eurozone: the quote states seller's currency. In most other
countries, including the US, exchange rates are given as direct
quotes: the quote states the buyer's
currency.

What is Miss Maudie's relationship to the Finches and the rest of Maycomb in To Kill a Mockingbird?

First of all "Miss" Maudie Atkinson is not a spinster,
like some of the other "Misses" that appear in To Kill a
Mockingbird. (The children call her "Miss," as they do some of the
other women, as a sign of old-fashioned respect.) Maudie is a widow, like Atticus, and
the daughter of Dr. Frank Buford, whose "profession was medicine." Dr. Buford was a
neighboring landowner, and Maudie Buford had grown up near Finch's Landing before moving
to Maycomb. (Little, if nothing, else is mentioned about her husband, Mr. Atkinson, or
the circumstances of his absence.) She inherited her love of flowers and gardening from
her father, whose

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obsession was anything that grew in the ground,
so he stayed poor.

Maudie had
known Atticus and brother Jack Finch for at least four decades, and Jack had jokingly
been asking Maudie to marry him for many years.

Maudie
lives across the street from the Finches and serves as a mentor and confidante to the
children, especially Scout, who

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had considerable faith in Miss Maudie. She had
never told on us, had never played cat-and-mouse with us, she was not at all interested
in our private lives. She was our
friend.

She is a true and
loyal friend to Atticus as well, and she supports him and his legal decision to take on
the case of Tom Robinson. She explains to the children that Atticus is no ordinary man,
but one who the entire town counts upon.

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     "... there are some men in this world who
were born to do our unpleasant jobs for us. Your father's one of them...
    
"We're so rarely called on to be Christians, but when we are, we've got men like Atticus
to go for us." 

What are the differences between colonialism and post colonialism?

I am not sure how to formulate definitions in terms
of tenets. Colonialism and Postcolonialism refer to certain periods in history relative
to the countries being discussed.

Colonialism is often
discussed as the history of imperial expansion and colonization which was generally
initiated during the age of exploration. Colonialism is usually discussed as a European
domination of American, African and Asian lands. This is true, but this could also
include examples like the Roman and Persian empires. Empires that have taken over other
countries have often established colonies as a way of staking out territory. In literary
analysis, colonialism refers to literature and criticism dealing with the periods of
colonialization. This can be from the perspective of the colonized or the
colonizers.

Postcolonialism refers to the time after these
colonized nations have become independent. Since these nations still experience the
effects of colonialism, a postcolonial interpretation can often include the events of
colonialism. A postcolonial analysis of historical or literary documents usually focuses
on the challenges faced by the once-colonized and now independent people. The challenges
they face could be issues with identity, race, economics, politics and
culture.

If you’re doing a historical study of India or
A Passage to India, a colonial study would focus on India during
the British occupation. A postcolonial study would focus on India after its independence
from Britain. Postcolonialism is more encompassing because such an analysis must address
the events of colonialism to discuss its postcolonial effects. Culturally speaking,
postcolonialism often refers to the interactions between Europe and the nations it has
colonized. Particular attention is paid to the ways race and cultures are represented by
the colonized and the colonizers.

If you generalize the
concept of colonialism to mean “certain degrees of control by one country over another,”
there are certainly examples today of colonialism in the form of
imperialism.

What is the antiderivative y of dy/dx=1/(x^2+6x+9) ?

We notice that the denominator is the perfect square:
x^2 + 6x + 9 = (x+3)^2

We'll re-write the
integral:

Int f(x)dx = Int
dx/(x+3)^2

We'll replace x+3 by
t.

x+3 = t

We'll differentiate
both sides:

(x+3)'dx = dt

So,
dx = dt

We'll re-write the integral in
t:

Int dx/(x+3)^2 = Int
dt/t^2

Int dt/t^2 = Int
[t^(-2)]*dt

Int [t^(-2)]*dt = t^(-2+1)/(-2+1) + C =
t^(-1)/-1 + C = -1/t + C

But t =
x+3

The requested antiderivative of dy/dx is
y = Int dx/(x+3)^2 = -1/(x+3) + C.

How to solve the equation sin 3x=sin x, if 0

We have to solve sin 3x = sin x for 0 < x <
pi.

Use sin(A + B) = sin A cos B + cos A sin
B

sin 3x = sin (2x +
x)

=> sin 2x * cos x + cos 2x * sin
x

=> (sin x * cos x + sin x* cos x) cos x + (cos x *
cos x - sin x * sin x)*sin x

=> 2* sin x * (cos x)^2
+ (cos x)^2*sin x - (sin x)^3

=> 3*sin x * (cos x)^2
- (sin x)^3

3*sin x * (cos x)^2 - (sin x)^3 = sin
x

=> 3*(cos x)^2 - (sin x)^2 =
1

=> 3 -  3*(sin x)^2 - (sin x)^2 =
1

=> 3 -  4*(sin x)^2 =
1

=> 4*(sin x)^2 =
2

=> (sin x)^2 =
1/2

=> sin x= 1/sqrt
2

x = arc sin (1/sqrt
2)

=> x =
pi/4

The required solution is x =
pi/4

In Gone with the Wind, what are Ellen's characteristics?

I think that Ellen's most pressing relevance in the novel
is that she represents what represents Scarlett's hopes, her reality, and her
differences.  Ellen is the mirror or the looking glass for Scarlett.  On one hand,
Ellen's embrace of the maternal and feminine role with such vigor is what Scarlett
wishes she could be.  The manner in which she operates as wife, mother, and head of the
plantation is something that early on Scarlett aspires to be.  At the same time,
Scarlett seeks to want to walk her own path, be her own person.  While her sisters are
more willing to embrace what it means to be a "woman" as defined by society and taught
by Ellen, Scarlett sees herself as something else in the early stages of the narrative. 
This is seen when she discredits Tara, denigrating it as something she would never
embrace.  However, when Atlanta burns to the ground and as Scarlett recognizes that Tara
is the only place to take the pregnant Melanie, Scarlett ends up becoming a more
modernized version of her mother, understanding the need to look after the family.  It
is interesting to note that Scarlett wants to go back to Tara to be with her mother, to
be in her mother's care.  Since Ellen dies before they reach Tara, Scarlett has to
quickly undergo a change from being with her mother to actually being the role her
mother represented.  It is in this light that Ellen's characteristics are brought out in
the most forceful light.

How can Antigone be used as a metaphor for eduation?

When we examine "metaphors for teaching," I think that we
are looking at what are the "teachable" moments that emerge out of the literature. 
Antigone gives us many of those instances.  I think that one of the
strongest symbols is the title character, herself.  Looking at Antigone as a heroine, I
think that one great teachable moment is how the line is so very blurred between freedom
fighter and terrorist.  From Antigone's point of view, her actions are that of a freedom
fighter, someone fighting in her own name for her own cause dear to her heart and
identity.  From Creon's point of view, she is a lawless "terrorist," someone who has no
regard for law and someone whose actions are an apparent affront to the word of order. 
I think that students can use this distinction to analyze how the terms like "terrorist"
or "freedom fighter" are subject to bias and personal point of view.  It is a great
point of view exercise to have students assess both claims about
Antigone.

Another issue that presents itself is whether or
not one's view of Antigone changes with gender.  In other words, if Antigone was a man,
how would the play be different?  In this, students would probably assess Ismene's role
and counsel to her sister.  Moreover, it becomes an excellent gender exercise for
students to see the role that gender plays in how characters are interpreted and how
motives are assessed.

Finally, I think that there is a
political or civics discussion present in the belief and faith in convictions.  Antigone
has a conviction that her brother is going to be honored properly.  There is little in
way of negotiation in Antigone.  She is not going to sacrifice one iota on her stance. 
I think it might be a good lesson in civics and the ethics of citizenship to talk about
if this is healthy or good in a vibrant democracy.  Can citizens in a democracy have
convictions that must be realized, regardless of cost?  What happens when these collide
with others' convictions?  Is negotiation the only way to ensure civil peace,
demonstrating that convictions really have little place in a heterogeneous democracy? 
Examining these issues in the play and then assessing them with historical examples
might make an excellent lesson in civics education.

Examine the external environment by naming and explaining.answer please

In business, environment refers collectively to all the
influences outside the organization that impact a business or a firm. Thus environment
always refers to the external environment. Of course we can think of environment as
consisting of several layers surrounding the form in its center. Moving from the most
inner layer to outer layers we can group them in three
groups.

Strategic group and markets:
This consists primarily with the customers, suppliers, channel partners and other
organization with whom the business has regular transactions. This layer has an almost
direct influence on the firm.
Industry or sector: This is
a layer that envelops the strategic group and market layer and embraces the complete
industry or sector of which the firm is a part, irrespective of whether it has any
business dealing with them. Some of the organization in this layer ma be direct
competitor of the firm. This layer affect the firm within the same industry or sector
more than those outside.
Macro-environment: This is the
most general environmental layer. All the firm and all the firms exist within this layer
and are affected by it. However each firm may be influenced differently by specific
features of macro-environment.

The macro-environment of a
firm is generally classified in six different kinds of influences.These are political,
economic, sociocultural, technological, environmental and legal. These six are
collectively referred as PESTEL framework.

Why did the Neutrality Acts prove ineffective in the conditions of the 1930s?

I am not at all sure that it is correct to say that the
Neutrality Acts did prove ineffective.  At the end of the
1930s, the Neutrality Acts were all still in effect (though FDR had said he regretted
signing them).  The last Neutrality Act was passed in 1939, so Congress clearly thought
they were still useful.  Huge majorities of Americans continued to believe in the idea
of neutrality.  In addition, the Neutrality Acts arguably helped keep the US out of war
during the whole decade of the 1930s.  Looked at in this way, the Acts were effective. 
They fulfilled their purpose, which was to keep the US out of
wars.

However, you could argue that they were ineffective
because they ended up working to help the "bad" side in some wars of the '30s.  For
example, when Italy invaded Ethiopia, refusing to sell arms to either side was the same
as helping Italy.  This was because the Italians didn't need arms whereas the Ethiopians
did.

You could also argue that they were ineffective
because some of the conflicts were not officially wars.  The most important case like
this was the Japanese invasion of China.  Neither side called it a war, so the
Neutrality Acts did not apply.

However, I would argue that
neither of these really does show that the Neutrality Acts were ineffective.  I would
argue that they fuliflled their purpose and kept the US out of war throughout the
'30s.

Please describe the setting.

The entire story of "An Occurrence at Owl Creek Bridge"
takes place on a railroad bridge in Northern Alabama during the American Civil War.
Other events happen in the condemned man's (Peyton Farquar) mind, but the all of the
actual action takes place on the bridge.

The railroad
bridge is situated above Owl Creek (not a river!) with a small military fort located at
one end. The tracks disappear into a forest about 100 yards away. The bank of the stream
opposite the forest included

readability="8">

... a gentle slope topped with a stockade of
vertical tree trunks, loopholed for rifles, with a single embrasure through which
protruded the muzzle of a brass cannon commanding the
bridge.

A temporary
scaffolding was placed upon the tracks in a manner in which the condemned man would
fall between the crossties. Farquar noticed mists downriver below
the bridge.

Told in a flashback fashion, Chapter II reverts
to Farquar's Alabama plantation some 30 miles away where he meets a thirsty soldier
while sitting on a "rustic bench" on the edge of his property. Chapter III then
flash-forwards to Farquar's imagined escape. After surviving the hanging, he manages to
swim downstream and disappear into the forest, in which he travels all night before
arriving back at his plantation home.

Throughout the book, how did Charlie change? What were his personality and relationships like at each point in his growth process?

At the beginning of the story Charlie was mentally
handicapped and diagnosed with an IQ of 68. He was 32.

For
a man with mental retardation (as explained in the story), he was incredibly motivated,
making sure he worked hard at a Special university and making tasks to be selected for a
surgery which would triple his IQ.

After the surgery, the
first sign you see is that he is operating complex machines, and his IQ begins to
increase. Most importantly, he beat Algernon in completing a maze: Algernon is a rat who
underwent the same operation as a test variable.

Yet when
you put into perspective that Charlie went from two completely different sides of life
(from mentally challenged to genius) in just months, you can imagine the changes that
impacted his personality.

First of all, he would see people
for who they really were. He understood now all the digs that were thrown at him in the
beginning, and the double entendre of many jokes. He changed, because he wanted
desperately to be taken seriously. In a way, he shun everyone who was one his friend so
that he could eradicate that part of his life.

Equally, he
fell in love. When he did, he overanalyzed and over complicated things because his mind
would work so fast and with such complexity that he was now losing friends, and his
attitude continued to change.

When he realized the mistake
in the hypothesis that would contribute to his increase in IQ, his anger was not just
directed at the doctors, but at himself, at the society who laughed at him once, and at
all of those whom he once loved.

As his condition
deteriorated again, he came back to being a simple man, almost childish, still in pain
for what was gone, but most importantly, he was returned to a state of innocence that
begged for the mercy of Algernon, rather than for his own.

What is meant by "Whiff of a grapeshot"?

You are, presumably, referring to the famous saying of
Napoleon Bonaparte in which he is reputed to have said that he saved the government by
clearing the streets of protestors with a "whiff of
grapeshot."

Grapeshot is a type of shot that was used in
cannons.  It was sort of like a shotgun shell for a cannon.  When cannon fired
grapeshot, it was not just one big cannon ball coming out of the gun.  Instead, a huge
spray of smaller balls would come out of the cannon.  This was typically used against
massed charges of infantry because it could kill or wound many more people at once than
a cannonball could.

When Napoleon made this comment (if he
did) he is saying that he used grapeshot against the rebels and, by doing so, he broke
up their rebellion and saved the government.

Explain the purpose of the SBA’s (Small Business Administration's) microloan program.

The SBA's microloan program is meant to provide relatively
small loans (an average of $13,000 per borrower) to people who want to set up their own
small businesses.  This is seen as an important program because small businesses are
important sources of jobs in our economy.

The SBA does not
loan directly to the borrower.  Instead, the SBA makes money available to non-profit
intermediary lenders.  These are local groups that do not just lend money but also
provide technical assistance to people who want to start small
businesses.

The purpose of these loans and this assistance
is to make it more likely that entrepreneurs will be able to successfully start small
businesses.  This should help the vitality of the local economies and, by extension,
that of the whole country.

Who benefited most from the rule of caudillos in Latin America?

The people who benefitted the most from the rule of
caudillos were the caudillos themselves and
those who supported them.  The caudillos were typically not that
interested in ruling for the benefit of all.  Instead, they were more likely to be
interested in their own wealth and power.  Because they needed supporters, they spread
the wealth to important people who backed them.  The common people, however, were not
very important to the caudillos, so little of the wealth trickled
down to them.

Caudillos typically came
to power via military strength.  They stayed in power through military strength and
through the support of various local powers throughout their countries.  They relied,
then, on the support of the military and of powerful figures, not on the support of the
masses.  For this reason, the masses did not tend to benefit from
caudillo rule, while the caudillos and their
supporters did benefit.

What does "Diary of a Piano-Tuner's Wife" by Wilmer Mills suggest about the constraints of convention or circumstance to a person's response?

In Wilmer Mills' poem, "Diary of a Piano-Tuner's Wife,"
the constraint of convention that most strikes me is the way the wife in the story sees
her husband for who he is, but the people for whom he works (tuning pianos) see a
totally different man.

Certainly the piano-tuner must
adhere to constraints of convention if he does not want to lose business: he cannot show
the same side he exhibits at home, to his customers. When his wife describes the man,
she notes that he will go to someone's house, have cake and coffee, and make pleasant
conversation as he fixes their piano. Ironically, whereas he may be tuning the piano in
another home, his own home is "out of tune." The piano-tuner's wife notices that he
cannot feel anything unless it is nastiness:

readability="11">

It’s such a mulish type of
sentiment

That governs what a man will take to
heart

So only meanness every now and
then

Is strong enough to make him stop and
feel.

However, the wife's
response to circumstance comes from her reaction to her husband. His need to "have
straight lines" may arise from wanting a life free from complications and strife: he has
already lost his arm in the war in France. However, the wife feels the need to express
herself as much as the husband denies any such expression. She will have the lines of
the stones she has collected out of order, even if he wants to straighten them. The wife
feels a need to express herself freely, where perhaps she has simply been controlled for
too long. She realizes that as he keeps "the world in tune," the same can not be said
for their home. She says:

readability="8">

Now I know, and so will he: I’m
more

Than just another string he fails to
tune.

The wife's allusion to
her own "Exodus" may refer to her inner-sense of escape and release from the oppressive
environment in which she lives, one her daughter won't even return to. The release—if
not physical—is at least mental in that the wife will do what she must to help herself
find a "life in tune" that her husband cannot or will not
provide.

Why doesn't Mayella confess the truth at the trial in To Kill a Mockingbird?Consider circumstances of her life and the social context in which she...

As Atticus pointed out in his summation to the jury,
Mayella committed the offense of tempting a Negro. According to Tom's testimony, she
kissed Tom, threw her arms around his waist, and begged him to kiss her, which he
refused to do. When her father, Bob, saw them together, he called her a "goddam whore,"
and threatened to kill her.

readability="10">

"She was white, and she tempted a Negro. She did
something that in our society is unspeakable: she kissed a black man. Not an old Uncle,
but a strong young Negro man. No code mattered to her before she broke it, but it came
crashing down on her
afterwards."

This was not
something that she, or Bob, was willing to admit in public, so the two of them concocted
the story that Tom had raped her, knowing that their word, as white citizens, would be
believed over that of a black man. Mayella was probably intimidated by her father, who
must have threatened her with further violence if she did not go along with his story.
It was probably not the first time that her father had beaten her, and she was afraid to
defy him. Although Bob and his family were already "the disgrace of Maycomb County," he
knew that admitting the truth would further reduce his stature in the community (if that
was possible). Bob hated blacks, and seeing his daughter admit her crime in public was
not something he would allow.

"Ralph wept for the end of innocence, the darkness of man’s heart, and the fall through the air of a true, wise friend called Piggy."Within the...

On the last page of William Golding's Lord of
the Flies, having been rescued by the naval officer from death at the hands
of Jack and the hunters who have descended to pure savagery, Ralph assesses what has
happened on the island where the boys have been stranded.  Overcome with emotion, Ralph
begins to sob, weeping for what in themselves has been lost.  Certainly, their
child-like innocence is gone, and Simon is dead.  Ralph recognizes "the evil that men
do" [Julius Caesar] instrinsically; finally, he understands what it
has been about which Simon was inarticulate at the assembly held in Chapter Five. "The
darkness of man's heart" is a metaphor for Simon's
understanding of the evil that is inherent in human beings, an evil that is released
when the restraints of civilization are loosened or
removed.

As he remembers his wise friend, Piggy, Ralph
shakes and sobs, too.  Poor Piggy, who was so cruelly killed by the sadistic Roger, "who
carried death in his hands" and sent the pink granite rock upon Piggy, striking him with
a blow from chin to knee.  Piggy fell forty feet and landed on his back across a red
rock; his head opened and his arms and legs twitched in death.  Then, the sea swept
Piggy's boy from Ralph's view.  Piggy's death is
metaphorically expressed in Ralph's thoughts of his "fall
through the air."

What six foreign powers helped the Chinese government put down the Boxer Rebellion?

Historians do not typically say that there were six
foreign powers that fought against the rebels in the Boxer Rebellion.  Instead, they
typically say there were eight.  For example, the history-fact-finder link below
says

The Boxer
Rebellion was an uprising that took place in China in 1900. It was crushed by the
combined forces of eight foreign
countries...

It may be that
your textbook feels that the contributions of two of the foreign powers were not
significant enough to be worth mentioning.  You may want to check to be
sure.

The eight nations that are generally credited with
helping to put down the Boxer Rebellion
are:

• Japan


• Russia


• Great
  Britain


• France


• United
  States


• Germany


• Italy


• Austria-Hungary

I
would argue that the last two of the countries mentioned above did the least to help put
down the rebellion.  Therefore, if I were to limit my response to six countries, I would
use the top six on the list above.

Macbeth is brutally killed in Act Five. What other event in Act Five does this parallel in Shakespeare's Macbeth?

In Act Five, of Shakespeare's
Macbeth, the tyrant Macbeth, who murdered Duncan and others, will
be killed by Macduff, who has vowed to take Macbeth's life to avenge the death of his
family and servants at the King's command.

The other event
that parallels Macbeth's death, but takes place in scene five, is Lady Macbeth's death.
She, too, was complicit in the murder of Duncan, but the guilt of what she and her
husband have done has driven her mad. She has taken to sleepwalking and reliving the
murders, and cannot sleep without a light next to her bed. Lady Macbeth ultimately kills
herself.

Upon hearing of her death, Macbeth notes that she
would have died sooner or later. I think he has become so numbed by his tyranny, that
even the death of the woman he loved so much at the start of the play fails to rouse any
real sorrow at her passing.

How do the Magi relate to the meaning of the story "The Gift of the Magi" by O. Henry?

The allusion to the Magi of the Bible, extends to the idea
that these men traveled from afar to be in the presence of the greatest gift of God to
mankind, His only Son:

readability="9">

For God so loved the world that He gave his only
begotten Son, that whosoever believeth in Him, shall not perish, but have everlasting
life. [John 3:16]

Clearly, O.
Henry's story is one with a very Christian theme, the theme of love as meaning that one
is willing to sacrifice one's own desires for the happiness (or safety) of another. 
Like the Magi, Della and Jim understand the true meaning of love, and they understand
that sacrifices are often necessary in order to experience true love.  Like the Magi who
traveled from great distances under strenuous conditions, Della sacrifices her prized
possession of her luxurious hair in order to buy a present for Jim, and Jim does
likewise for Della; in the end, they give each other the richest gift of love, just as
the Magi bring the baby Jesus rich gifts.

What is a summary of chapter 1 of The Twenty-One Balloons?

Chapter one opens with an introduction to the main
character of the book, Professor William Waterman Sherman, who has been rescued out of
the Atlantic Ocean, where he was found nearly dead in the wreckage of twenty balloons. 
The captain of the boat which picked him up orders that he be placed on bedrest and
nursed back to health.  Once Professor Sherman has gained enough strength to talk, the
captain wants to know exactly how he came to be stranded in the middle of the Atlantic
surrounded by the balloons.

Professor Sherman, despite his
weakness, announces that the first telling of his great adventure is reserved for "The
Western American Explorer's Club," a fraternity to which he belongs back at home and to
which, he is most loyal.  Professor Sherman not only refuses to tell his tale to his
rescuers on the ship, but when the captain deposits him in a hotel in New York and sells
his version of the story to a local newspaper, Professor Sherman further refuses to give
any clues to the reporters who show up at his hotel door.  The short, one-sided story of
the captain makes it all the way to the President of the United States, who's secretary
writes a letter to Professor Sherman, personally requesting his presence at the White
House to announce his story to the world.  Professor Sherman sends a quick and negative
reply to the President's secretary.  The chapter concludes with a final note from the
secretary of understanding, as well as the provision of the Presidential train to
transport Sherman back to his home in San Francisco.

Explain why DNA is a store of genetic information, and how the base pairings are important?

I will answer your two questions in reverse, because it
makes more sense that way.

The base pairings are important,
because each 3 base sequence gets transcribed into a 3 base Codon on an mRNA molecule. 
This mRNA molecule leaves the nucleus of the cell and travels to a ribosome.  The
ribosome reads each Codon and pairs it up with the Anticodon of a specific tRNA
molecule.  For eacmple:

DNA:  ACG --> mRNA:  UGC
---> tRNA: ACG 

Each specific tRNA molecule (in this
case, ACG) carries a specific amino acid (in this case, threonine).  As the mRNA
molecule is thus translated by the ribosome, a long chain of amino acids, arranged in a
specific order, is synthesized.  This chain of amino acids, called a polypeptide, will
then be transported to the Golgi Body where it is processed and will become part of a
protein.  And proteins are used by your body to build structures (hair, muscle,
hemoglobin, etc) and enzymes (which regulate all the metabolic
processes).

So, the short answer:  DNA stores the
information used to build proteins.  The specific base pairings code for specific amino
acids that build these specific proteins.  If you have the wrong base pairing, you will
most likely get the wrong amino acid, and thus the wrong protein.  This is called a...
mutation!

Miller's Play, The Crucible, suggests that in some contexts the law is not always just. Discuss.

One of the elements that does come out of the play is that
there are those in the position of power who use the law as their instrument to
consolidate political gain and personal ambition.  These individuals frame their own
personal agendas under the guise of "justice."  The individuals in the position of power
in Salem, such as Abigail, Parris, and Putnam, are able to enhance their own sense of
control through the pursuit of "justice" through identification of townspeople as
witches.  The idea might not be centered on the unjust nature of justice. Yet, I think
that the drama goes very far in asserting that there are individuals who use political
power as a way of advancing their own agenda.  For these individuals, justice is just
one more of multiple means to get what they desire, what they covet.  The pursuit of
justice is a complex one, filled with many ambiguities.  Instead of focusing on these
challenges, individuals in the position of power seek to embrace simplistic and
reductive solutions, and these propositions not only obscure justice's pursuit but allow
them to consolidate and strengthen their own power.  It is in this that Miller offers
his strongest of rebuke, as opposed to the pursuit of justice.

The position of a particle is given by S(t) = t^3 - 6t^2 + 2 when does the particle change direction?Step by step process

The particle is moving such that its position is given by
S(t) = t^3 - 6t^2 + 2.

When the particle changes direction
the velocity changes sign.

Velocity is given by V(t) =
S'(t) = 3t^2 - 12t

3t^2 - 12t =
0

=> 3t = 12

=>
t = 12/3

=> t =
4

Before t = 4, the velocity of the particle is negative,
after t = 4 the velocity of the particle becomes
positive.

At t = 4, the particle changes
direction.

What is a carbonate? Give some examples of carbonates and their uses.

In inorganic chemistry a carbonate is a salt formed when a
substance reacts with carbonic acid. The chemical formula of carbonic acid is H2CO3.
During the reaction the two hydrogen atoms are replaced by the reacting substance to
form a carbonate.

For example calcium carbonate CaCO3,
calcium-magnesium carbonate CaMg(CO3)2 and iron carbonate FeCO3. These carbonates form
an important component of rocks like limestone, dolomite and
siderite.

Carbonates of sodium and potassium are used for
their anti-microbial properties as a cleaning agent and for preserving
food.

Industrial applications of carbonates include the
creation of glasses and ceramics, extraction of iron, manufacture of cement and the
production of lime which are essential for construction.

I need a short summary of Chapter 14 of Things Fall Apart by Chinua Achebe.I need summary of Chapter 14 only - thanks a lot.

In Chapter 14, Okonkwo returns in disgrace to his mother's
kinsmen with his wives and children. He is accepted by Uchendu, the wise patriarch of
the family, and, after the requisite sacrifices have been offered, he is given a plot of
ground on which to build his huts, and some land to farm. Each of Uchendu's sons also
give him seed-yams to plant. Soon the rains come, a welcome respite after a long period
of drought. The earth comes to life, and the people are "happy, refreshed, and
thankful."

Okonkwo, like the others, works hard on his
fields, but his work brings him no joy. When there is nothing to do he sits around
lethargically, essentially cursing his fate and feeling sorry for himself. Uchendu sees
this, and resolves to talk to Okonkwo. First, however, his youngest son is about to be
married, and the "final ceremony of confession" must be performed. In this ceremony, the
bride-to-be sits in the center of a circle of her betrothed's family, holding a hen in
her right hand. She is then asked how many men she has lain with since being engaged,
and she must answer truthfully, or great calamity will befall her. The young woman
answers that she has been with no man, and when she swears that her words are true, the
hen is killed and she becomes a bride. The next day, with his son happily married,
Uchendu calls Okonkwo and the men of the tribe to a meeting. Uchendu asks Okonkwo why it
is said that "Mother is Supreme" and why a woman is returned to her own kinsmen when she
dies. When Okonkwo and the others cannot answer, he explains that "a man belongs to his
fatherland when things are good and life is sweet," but when things are hard, "he finds
refuge in his motherland." Uchendu then chides Okonkwo for allowing his sorrow to weigh
him down and refusing to be comforted by his mother's kinsmen. He points out that
everyone suffers, and tells Okonkwo to stop feeling sorry for
himself.

Justify the title, "The Gift of the Maji".

According to the Christian tradition, the wise men or magi
who travelled from afar to place their gifts at the baby Jesus' feet as he lay in the
manger were the first gift givers.  Therefore the title of the story is meant to reflect
that tradition as well as the unselfishness of the givers in that the magi travelled
such great distances to give their gifts to the newborn baby.  In some ways they are
also linked to the story in that their gifts were in some ways less practical to a baby
but were meant to signify their willingness to sacrifice, just as Jim and Delia were
willing to sacrifice for each other, even if it meant giving up their most prized
possession.

What page does in 'Twilight' does Bella realize Edward is a vampire?What kind of things does she think about? What exactly does it say when she...

Bella comes to the conclusion that Edward is a vampire
right around page 138-139. She realizes the truth but doesn't quite fully admit it to
herself yet. When she realizes that he is a vampire, she thinks about two options: the
first option is that she could tell him to leave her alone, run away from him, refuse to
see him, and never talk to him again. The second option is to continue to act as she had
been, to see him, to talk to him, to be with him, and accept him. She thinks that if he
were going to hurt her, he would have done it already, and she believes that he is good.
She makes her decision rather easily, because she is already falling in love with him.
She really can't stay away. 

When she tells him she knows,
she explains how she heard the story from Jacob Black, and he freezes, only barely
hiding his nervousness. She tells him, "I decided it didn't matter." This happens in
chapter 9, on page 184 of my edition. When this happens, the truth is out in the open,
and she makes it clear to Edward that she trusts him and is willing to work things out
to be near him, even though he believes this is wrong. Neither of them can bring
themselves to stay away from each other. 

What is Detente?

Detente comes from the French word, loosen or
relax.

Within the context of history, the word has been
used notably during the Cold War period of the 20th Century. Richard Nixon, president of
the United States and his Secretary of State, Henry Kissenger began a period of easing
the strained relations between the West and East (Soviet Union) during the
1970s.

To this point, this was a major foreign policy shift
of the United States. Since the end of World War II, the foreign policy of the US and
its allies had been one of Containment towards the Soviet Union and its allies. The idea
of detente was a concession by Nixon and Kissenger that Containment had
failed.

There were other periods of detente throughout
European history. During the 19th Century Napoleonic Wars, detente between Czarist
Russia and Austria for example or Sweden and Prussia during the same period. Finally,
also during the 18th Century the easing of tensions between Spain and
Portugal.

There are other examples, but I believe the
intent of your question has been answered in my first
part.

Hope it helps.

What examples of each type of sensory language can be found in Jane Austen's Pride and Prejudice?

One good example of sensual language dealing with
Feeling that Jane Austen uses can be seen when Elizabeth
goes to tour Pemberley with her aunt and uncle Gardiner. As their carriage turns into
the drive through Pemberley Woods past the lodge house, Austen describes that
Elizabeth's "spirits were in a high flutter," meaning she felt very anticipatory and
nervous (Ch. 1, Vol. 3). An example of Taste sensory
language can also be seen in this chapter. While strolling through the woods after
visiting the house, Austen remarks that "Mr. Gardiner, though seldom able to indulge the
taste [of fish], was very fond of fishing." This line tells us that Mr. Gardiner does
not like to eat fish, but he still enjoys the sport.

This is also a
good chapter to find an excellent example of Sight sensory
language. Austen makes a point of describing Pemberley House with far more detail then
she uses to describe either Netherfield or Longbourn. She describes it as "situated on
the opposite side of a vally, into which roads, with some abruptness, wound." She
further states that "It was a large, handsome, stone building, standing well on rising
ground, and backed by a ridge of high woody hills."

A good place to
find a reference for Sound sensory language can be found at
the moment of the ball at Netherfield. At the ball, we witness Mary sing for the
company, and Austen uses many details to describe just how horrible Mary's voice
actually was:

readability="16">

By many significant looks and silent entreaties,
did she [Elizabeth] endeavour to prevent such a proof of complaisance, -- but in vain;
Mary would not understand them; such an opportunity of exhibiting was delightful to her,
and she began her song. Elizabeth's eyes were fixed on her with most painful sensations;
and she watched her progress through the several stanzas with an impatience which was
very ill rewarded at their close; for Mary, on receiving amongst the thanks of the
table, the hint of a hope that she might be prevailed on to favour them again, after the
pause of half a minute began another. Mary's powers were by no means fitted for such a
display; her voice was weak, and her manner affected. -- Elizabeth was in agonies. (Ch.
18, Vol. 1)

Austen seems to
have chosen not to employ any Smell sensory language, even
though Elizabeth's frequent strolls through Rosing's Park and her visit to Pemberley
Park would be obvious places to refer to smells.

solve the inequality 7 =

Given the inequality:

7
=< 2x-5 =< 11

We need to find the values of x
that verifies the inequality.

First we need to isolate x in
the middle by itself.

We will add 5 to all
sides.

==> 7+5 =< 2x =<
11+5

==> 12 =< 2x =<
16

Now we will divide by
2.

==> 12/2 =< x =<
16/2

==> 6 =< x =<
8

Then the values of x that verifies the inequality is
bounded by 6 and 8.

Then x belongs to the
interval [6, 8].

In A Separate Peace, Leper signs the telegram he sends to Gene, “Your best friend.” Why does Leper do this?

Leper isn't one of the more popular kids at Devon.  He
appears to be secure with his loner status, preferring to be one with nature rather than
in the center of the social circle.  After the war, however, we see a different Leper. 
His yearning to be accepted by his peers is more evident and he shows envy toward the
closeness some of his classmates, like Gene and Finny, share.  He reaches out to Gene,
perhaps because he thinks he can take Finny's place as his "best friend".  Leper's
experiences in the army makes him realizes the importance of friends for the first
time.  He is desperate and needs someone to talk to, so he dumps his troubles on Gene. 
It's possible he uses "Your best friend" to guilt Gene into helping
him.

What are a and b if f(x)=ax^3+bx^2+1 has a point of inflection at (-1,2)?

Since the function is a polynomial, then it is continuous
and differentiable.

Since (-1,2) is an inflection point,
then x = -1 is the root of the 2nd derivative. We'll calculate the first
derivative:

f'(x) = 3ax^2 +
2bx

Now, we'll calculate the second
derivative:

f"(x) = 6ax +
2b

f"(-1) =
0

-6a+2b=0

-6a=-2b

a
= b/3

Since the point of inflection is on the graph, then
(-1,2) verifies the function:

f(-1) =
2

-a+b+1 =
2

-a+b=1

-b/3 +b =
1

-b + 3b = 3

2b =
3

b = 3/2

a =
1/2

The values of a and b are: a = 1/2 and b
= 3/2.

What are the main points of Shelley's essay A Defence of Poetry?

The essay presents the figure of the poet in romantic
terms as a seer and a genius rather than simply a literary craftsman and an imitator of
past classical models. According to Shelley, the poet can communicate universal truths
about human existence and contribute to the progress of mankind. Poetry is the medium
through which the poet can express his vision. A Defense of Poetry
was intended as a polemical reply to Thomas Love Peacock's essay "The Four
Ages of Poetry" (1820), where the author argued that poetry was not relevant in an
advanced society. Shelley countered that poetry was vital and that poets made a definite
contribution to improve society. Because of this, Shelley described poets as "the
unacknowledged legislators of the world".

How important is the President’s ability to communicate?

I think that the Presidential ability to communicate is
vitally important.  In a modern setting, the President has to be able to clearly convey
what is being done, how the American people need to read what is being done, and also
why what is being done is beneficial, in general.  President Obama's address about the
situation in Libya Tuesday night is representative of the Presidential need to
communicate.  The President was able to repeat the ideas that the United States was
working with other nations in tandem and that the current leader of Libya was guilty of
unspeakable human rights violations.  This need to communicate to the people
necessitated the President's address.  Over history, the President's need to communicate
has come from the need to reach the people.

Ronald Reagan
was called "the great communicator" because of his ability to clearly speak to and about
what was needed from Americans in support of America.  FDR's fireside chats were a means
of communicating with the people about ideas that he was seeking to bring out in his
administration and through his legislation.  The need to communicate throughout
Presidential history is a way in which leaders have been able to connect with their
citizens and also a way through which they can ensure their messages were received "on
point."  Presidents who have not been able to communicate clearly usually end up
suffering a great loss of credibility.  Former President Bush might be a great example
of this.  In the days following the attacks of September 11, 2001, President Bush's
communication was clear and concise.  This contributed to an overwhelming approval
rating.  However, as situations in Iraq, Afghanistan, and domestically began to elude
his grasp of communicating, his credibility rating plummeted. Other factors were
involved in this slide.  Yet, the lack of clear communication was a factor in this drop
in credibility perception.

What happens to John when the crowd begins to imitate his behavior?Chapter 18 Brave New World

What happens to John at this point in the book is that he
completely loses his head and, because of it, he will soon lose his
life.

When the crowd starts to imitate him, they get caught
up in a frenzy.  For them, the only kind of frenzy that is familiar is the "orgy-porgy"
sexual frenzy.  So that is what they do.  John is already quite emotionally charged and
in something of a frenzy himself.  So it is not surprising that he loses control and
participates in the orgy.

This leads to him killing himself
out of shame.

What could the non sustainable business do to reduce its global footprint?

Non-sustainable business means a business that cannot
expect to continue to do business and grow for long because of the environmental damage
and other cost to the society caused by its manufacturing and other activities, and by
the consumption and disposal of its products.

There are no
clear criteria for qualifying a business as non-sustainable. For example, do we consider
the business cigarette manufacturing business as non-sustainable because of the harm
caused by smoking to the health of direct smokers as well as passive
smokers?

Different types of businesses may be considered
non-sustainable for many different reasons. Accordingly the the step they need to take
to reduce their global foot print - that is, adverse impact of their activity on global
environment - will also needs to be different. A company manufacturing newsprint paper
is non-sustainable because the wood it uses for making the paper is reducing the forest
cover. A company like this could undertake a tree plantation program to become
sustainable. A power utility may be considered non-sustainable because of high
environmental pollution created by its coal operated power plants. This company may have
to improve its coal combustion and power generation technology, and introduce equipment
to improve the quality of its exhaust. Such company may also benefit by adopting
generating electricity from renewable sources of energy and nuclear energy. A petroleum
company may find is advisable to go in for development of alternative bio fuels. Thus
each business must decide appropriate method of reducing global footprint suitable for
its business and its situation.

Can you give me some examples of characterization through dialogue in Great Expectations?There has to be one for each character. So 10 characters.

Renowned for his marvelous characterizations, Charles
Dickens often develops themes and motifs through dialogue; in addition, he reveals much
of the personalities through the speech of the various characters in Great
Expectations. Here are some selected
passages:

1.  Miss
Havisham, the strange woman in a tattered wedding addresses Pip as he
looks around the grim room, "I am tired...I sometimes have sick fancies, and I ahve a
sick fancy that I want to see some play.  There, there!...Are you sullen and
obstinate?"

2. Pip "No ma'am. 
I am very sorry for you and very sorry I can't play just now.  If you compalain of me, I
shall get into trouble with my sister, so I would do it if I could; but it's so new
here, and so fine--and melancholy--" I stopped, fearing I might say too
much....

3. Joe  After Pip
fabricates what has transpired at Miss Havisham's during his first visit, Joe tells
him,"Dont' you tell me no more of 'em[ lies], Pip.  That ain't the way to get out of
being common, old chap.  And as to being common, I don't make it out at all clear.  You
are oncommon in some things...Likewise you're a oncommon
scholar."

4. Pumblechook "I
wish you the joy of money." The materialistic Pumblechook has learned of Pip's "great
expectations."  Now, to Pumblechook Pip has been
elevated.

5. Jaggers, who
deals always with the criminal element has a low estimation of men. As Jaggers descends
the stairs of Satis house and first encounters Pip he says, "Boy of the neighborhood?
Hey?...Well! Behave yourself.  I have a pretty large experience of boys, and you're a
bad set of fellows. Now mind!"

6.
Estella indicates how she is controlled and directed by
Miss Havisham in the effort to wreak revenge upon the male gender, "We are not free to
follow our own devices, you and I."  Estella arrives in London and tells Pip she is
going to live in Richmond where she will be educated as a
lady.

7. Wemmick, with his
mouth like "a post office" gives and take information in the most practical manner.  One
day, he advises Pip who wishes to "put some money down" in order to help Herbert, "Mr.
Pip,...pitch your oney into the Thames and you know the end of it.  Serve a friend with
it, and you may know the end of it too--but it's a less pleasand and profitable
end."

8. As Herbert Pocket and
Pip talk in their new lodging, he tells Pip in a most cordial way, "...I dare say we
shall be often together, and I should like to banish any needless restraint between us.
Will you do me the favour to begin at once to call me by my Christian name,
Herbert?”

9. Flopson, the
frustrated maid of the Pockets continuously must rescue the children from harm as the
distracted Sarah Pocket reads from a book of titles.  She tells Mrs. Pocket in Ch. 22,
"Why, if it ain't your footstool!” cried Flopson. “And if you keep it under your skirts
like that, who's to help tumbling? Here! Take the baby, Mum, and give me your
book.”

10. Magwitch explains
his past to Pip the next day after his sudden appearance on his stairs, "...But to give
it you short and handy, I'll put it at once into a mouthful of English.  In jail and out
of jail, in jail and out of jail, in jail and out of jail.  There, you've got it. 
That's my life pretty much, down to such times as I got shipped off, arter Pip stood my
friend."  (The last line is certainly telling: Pip's kindness to him has been monumental
in Magwitch's life.)

What does Mrs. Hopewell mean by "good country people"?

Much like her daughter, Joy-Hulga, Mrs. Hopewell is
somewhat critical of others. She, living her life in the country, only finds herself
trusting people much like herself. She surrounds herself with a limited few whom hold
the same values that she does.

Mrs. Hopewell only trusts
Christian country people. It is this fact which allows Manley Pointer to gain access to
her home and to her daughter. It seems that Mrs. Hopewell, while staunch in her
stereotypes, limits her own ability to judge others correctly based solely upon their
claims of being Christian and "country".

Therefore, Mrs.
Hopewell defines "good country people" by comparing them to herself and the values she
holds. Good country people are honest and good hearted. They also will accept
hospitality of others like themselves. Above all else, they must have strong Christian
values.

Given that (x-2) and (x+3) are factors of 2x^4-ax^3-10x^2+bx-54, find a and b.

We'll apply the division of polynomials. Considering the
fact that x-2 and x+3 are factors, that means that 2 and -3 are the roots of the
polynomial 2x^4-ax^3-10x^2+bx-54. We know that we could write a polynomial as a product
of linear factors, depending on it's
roots.

2x^4-ax^3-10x^2+bx-54=(x-2)(x+3)(cx^2+dx+e)

We've
noticed that multiplying (x-2)(x+3), we'll obtain a second degree polynomial. But the
given polynomial has the fourth degree, so we have to multiply (x-2)(x+3) with another
polynomial of second degree.

We'll do the math, to the
right side and the result will be:

(x-2)(x+3) =
x^2+x-6

(x-2)(x+3)(cx^2+dx+e) =
(x^2+x-6)(cx^2+dx+e)

(x^2+x-6)(cx^2+dx+e) =
cx^4+dx^3+ex^2+cx^3+dx^2+ex-6cx^2-6dx-6e

If 2 polynomials
are identically, that means that the corresponding coefficients are
equal.

2x^4= cx^4, so
c=2

-ax^3=(d+c)x^3, so d+c=-a,
where c=2,
d+2=-a

-10x^2=(e+d-6c)x^2

-10=e+d-6c

e+d=-10+12

e+d=2,
where e=8, so d=2-8,
d=-6

bx=(e-6d)x

b=e-6d

-6e=-54

e=8

d+2=-a,
a=-2-d, where
d=-6

a=-2-(-6)

a=6-2

a=4

b=e-6d,
where d=-6 and
e=8

b=8-6(-6)

b=8+36

b=44

What is the gun history in the 19th century?Create a timeline of guns during the 19th century. You don’t need to include all guns, but pick...

Here is a partial timeline of 19th century
weaponry.

1818:  Invention of the revolver
1825: 
Percussion-cap gun invented with tube leading directly into the gun
barrel.
1835:  Invention of the Colt handgun, the first multi-shot
revolver
1840:  First use of pin-fire cartridges
1850:  Invention of
the shotgun
1859:  First use of full rim-fire cartridges
1860: 
Invention of the Spencer repeating carbine
1861:  Breech-loaded guns
introduced
1862:  Invention of the Gatling gun
1871:  Invention of
the cartridge revolver
1873:  Invention of the Winchester
rifle
1877:  The double-action revolver is introduced.
1879:  Patent
of the Lee box magazine
1892:  Invention of the automatic
handgun
1893:  Invention of the Borchardt pistol with separate
magazine

In Shakespeare's Hamlet, what is Hamlet's passionate force that leads his actions?It is said that Shakespearean tragedies have some distinct...

In Shakespeare's Hamlet, the
passionate force you mention, in my mind, is Hamlet's promise to Old Hamlet to avenge
his father's murder. In Act One, scene five, when the Ghost appears to Hamlet on the
battlements of the castle, the Prince of Denmark swears he will seek revenge, for not
only did Claudius kill Old Hamlet and take his wife and crown, but he sent him to his
death without the benefit of href="http://dictionary.reference.com/browse/absolution">absolution of his
sins, so he is now forced to wander between two worlds (Heaven and
hell).

I am
thy father's spirit,
Doom'd for a certain term to walk the night,

And for the day confined to fast in fires,(15)
Till the foul
crimes done in my days of nature
Are burnt and purged away.
(I.v.13-17)

In this segment,
Old Hamlet speaks of the punishment he must suffer each day. He is in purgatory,
suffering for the sins he died with. Then the Ghost remarks as to the story that was
released to the public regarding his death (death by snake-bite), but reveals that it
was murder instead, and that the murderer (Hamlet's uncle, Old Hamlet's brother) "now
wears his crown..."

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Now, Hamlet, hear.
'tis given out
that, sleeping in mine orchard,(40)
A serpent stung me. So the whole ear of
Denmark
Is by a forged process of my death
Rankly abused. But
know, thou noble youth,
The serpent that did sting thy father's life

Now wears his crown.
(I.v.39-45)

And
finally...

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Thus was I, sleeping, by a brother's hand

Of life, of crown, of queen, at once dispatch'd;
Cut off even in
the blossoms of my sin,
Unhouseled, disappointed, unaneled,

No reckoning made, but sent to my account
With all my
imperfections on my head.
(I.v.79-84)

Here he speaks of
all that he lost why he innocently slept: life, wife, crown, without the benefit to
confess his sins before he died, with every "imperfection" resting on his soul. ("...his
account" means reckoning in Heaven.)

These are the words
that galvanize Hamlet forward. However, what dampens his passion is his doubt as to
whether the ghost that appears is really an "honest" ghost as he tells Horatio.
Elizabethans believed that evil spirits could manifest themselves to look like loved
ones to have mortals commit sins that would rob them of their eternal souls. Hamlet is
blamed in the play for indecision. (This is his tragic flaw.) However, in his defense,
he also does not want to go to hell, for the Elizabethans believed it a sin to murder a
king, who would have been ordained by God to rule. Once Hamlet receives proof, not only
will he know that Claudius is guilty of href="http://dictionary.reference.com/browse/regicide">regicide, but he
will know that the Ghost was telling the truth and he can
proceed.

In the meantime, Hamlet struggles with the task
and mentally beats himself up, thinking he is perhaps a coward who has failed to act.
His heart is passionate to avenge his father's death, but not if the ghost is false and
it costs him his soul.

What are the main literary elements that are used in Trifles?

Crucially, the biggest literary element that is utilised
in this excellent play is irony. You cannot really grasp the message of the play if you
do not identify that there is a conflict between men and women in this play. Consider
the scenario: The Sherrif, County Attorney and Mr. Hale have come to the Wright's house
to find some evidence that would convict Minnie Wright of her husband's murder. They are
patronising and dismissive about any observations that the women make. Yet it is the
women themselves, Mrs. Hale and Mrs. Peters, who, by using their knowledge of how
households operate, find the motive for the murder and are able, with their "trifles,"
to achieve what the men are unable to.

Note how this theme
is established. The men look at the kitchen and see nothing but "a nice mess." When Mrs.
Peters expresses concern about Minnie Wright's preserves, Hale
responds:

readability="6">

Well, women are used to worrying over
trifles.

Ironically, it is
the trifles that the men are so quick so dismiss and overlook that prevent them from
piecing together what happened. This irony runs throughout the play, right up until the
end when the County Attorney "facetiously" makes reference to the quilt that the women
have identified as a piece of evidence.