Evaluate The Tempest engaging in the Elizabethan era discourse on colonialism.

It is hard to ignore the way in which this text relates so
closely to the colonial expansionism that had brought the powers of Europe into contact
with "brave, new worlds" that had just been "discovered." Historically, these new
relationships gave European powers the opportunity to exploit and disempower natives,
and it is hard not to see a parallel situation in both Prospero's relationship with
Caliban and with Ariel. While most considered that Europeans had a "god-given" right to
the colonial power they were beginning to wield, there were a few dissenting voices that
suggested that the "civilisation" that the European powers were supposedy bringing to
these oppressd colonies might not be the most beneficial thing for
them.

The relationship between Prospero and Caliban is
therefore of particular interest with regard to this question of colonialism. He is
shown to be enslaved, maltreated and abused by people who cold-heartedly use him for
their own benefits. Yet at the same time, Caliban himself is shown to be a treacherous
character who deliberately tried to rape Miranda and make her bear his children. He
laments his lack of success in this regard:

readability="5">

Thou didst prevent me; I had peopled
else

This isle with
Calibans.

He willingly tries
to betray Prospero in a laughable attempt by finding a new master in Stephano. Having
been taught the language of his oppressors, he now seeks to use that to overthrow
Prospero. In him, therefore, Shakespeare seems to present a very problematic depiction
of colonialism. Was Prospero right to enslave him? Was he right to "civilise" him? Does
this process make Caliban happier? These are questions with no easy answers, but ones
that reflect the different approaches to colonialism in Shakespeare's
day.

Can anyone write a report of information on World War I for me?I really want to now how it started because after my teacher talked about i wanted...

I teach my students a simple quote that is easy to
remember that covers the four underlying causes of World War I in
Europe:

"I want your land, I'm better than you, I've got
guns and I've got friends"

I want your land - Imperialism -
the competition between six European empires for control of the world's colonies and
resources.

I'm better than you - Nationalism -the
hyperpatriotism that existed in each of these six empires prior to the
war

I've got guns - the arms race between the six countries
to produce massive military machines, with millions of soldiers and huge
navies

I've got friends - the system of alliances that
these empires cooperated under, which gave them an overconfidence in their ability to
win the war, and dragged them into it once it started.

I need help writing two paragraphs on Thoreau as a Transcendental hero, referencing Walden, as well as other works.

Your question reminds me of an interesting contrast
between Thoreau and Emerson, both major Transcendentalists. Emerson sat by the fire,
thinking and writing about Transcendental philosophy, while Thoreau lived in a drafty
cabin and cut through the ice on Walden Pond in winter to observe that heaven is below
as well as above us. Emerson was a thinker; Thoreau was a thinker and a doer. He lived
his philosophies.

In writing about Thoreau as a
Transcendental hero, review the philosophical beliefs he outlined in
Walden and then establish the numerous ways he put them into
practice. Surely choosing personal deprivation in the pursuit of truth is heroic. As a
Harvard graduate, Thoreau could have pursued a comfortable life, teaching and
intellectualizing about philosophical matters. Instead he built his small cabin with his
own hands and lived a solitary life on Walden Pond throughout the seasons. He believed
intellectually, for instance, that truth is revealed through nature; at Walden he lived
in nature and personally observed those truths. In consulting secondary sources on
Thoreau, you will find other instances of his putting his beliefs into practice. Most
famous is his going to jail in an act of civil disobedience to protest
slavery.

What is the significance of jealousy in Othello?

In addition to the answers above, jealousy is tied to
sexism, misogyny and the male and female reputations in the play
Othello.  The double standards of this patriarchal honor culture
are such: males had the right to be jealous of women, but women had no right to be
jealous of men.  More, men were jealous of each other's rank, status and
reputation.

I believe Othello is more jealous of Cassio
than he is of Desdemona.  Cassio is the ideal male, and he represents everything that
Othello is not.  He is young, white, Christian, well-spoken, and
handsome.

Not only are males jealous of other males, but
females are jealous of each other.  Emilia and Bianca are jealous of Desdemona.  Why do
you think Emilia steals the handkerchief from Desdemona?  Why do you think Bianca gives
it back to Cassio?  They hate what it represents: Desdemona's status as the highest
ranking woman.

What are the Achaean ideals that Eumaeus, the swineherder of Odysseus, exemplifies in The Odyssey?It's supposed to be in book 14, if that helps.

One of the first is that he immediately sees to the needs
of his guest without asking questions, etc.  It was important to the Achaeans that
guests be taken care of, even when unannounced.

Another is
his intense and long-suffering loyalty to his master Odysseus.  One of the main themes
of the story, particularly upon Odysseus' return, is the question of who has been loyal
and who has forgotten him or attempted to move in on his wife and his lands after he has
been gone for so long.  Eumaeus has remained loyal to him despite the length of his
absence.

A third might be his somewhat hidden wisdom, the
fact that he can see right through Odysseus and picks his lies out from the stories he
is telling immediately.

A Raisin in the Sun: Does this play have a "happy ending"? Why or why not? What do the Youngers have in store for them, once they move?

I would say that the ending is a relatively happy one.
Walter has stood up for his family, showing more commitment and veracity than he had
previously shown at any other time in the work.  At the same time, the family getting
out of its condition and moving to the suburbs is a move that is done out of the
family's best interests.  While there are so many social and personal circumstances that
are besieging the Younger family, it becomes redemptive to see them embrace the move
together and not show fear about.  The taking care of the plant, something that was a
challenge throughout the play, will now be facilitated much easier with this in mind. 
Additionally, I think that the expecting addition to the family also provides hope.
Certainly, they will face challenges in Clybourne Park and there is little to believe
that these elements will not be present.  Yet, the family is aware of that and still is
willing to take the risk for it is worth the reward.  This becomes the essence of what
immigration and movement in America is about, a reason for optimism at the end of the
play.

Explain how ethnocentrism shaped European encounters with native peoples.

Ethnocentrism shaped European encounters with native
people (such as the Native Americans) by giving the Europeans the sense that they could
treat these people as they wanted.  They felt superior towards the native peoples and
treated them more like objects than like human beings who were equal to
them.

This can be seen quite clearly in the example of the
Americas.  Native peoples in the Americas were typically either pushed out of the way
(or simply killed) or were assimilated into European-dominated societies, but at the
lowest rungs.

In what is now the United States,
ethnocentrism led to the idea that the natives were not legitimate owners of the land
and could be pushed aside as the Europeans wanted.  This often involved wars to kill
natives as well as to push the survivors off a given area of
land.

In what is now Latin America, natives were used as
more or less captive labor.  The system of encomienda gave Spanish landowners the right
to the labor of a given population of natives.  This was supported by the idea that the
natives were inferior to the Spanish and therefore could be disposed of as the Spanish
wished.

In these ways, ethnocentrism made Europeans treat
native peoples like objects.  The Europeans felt superior and so they did whatever they
wanted to do (whatever was most convenient for them) to the
natives.

In The Great Gatsby, how is the relationship of Tom and Daisy destructive?

The relationship that Tom and Daisy share is destructive
on a couple of levels.  On one hand, it is destructive to one another because there is
little in way of real understanding or real sharing present.  This poor foundation
results in a marriage that exists really in name only.  Both of them view the other as
an object.  She views Tom as a glorified bank account and he views her as a trophy. 
With this, both of them not only objectify one another, but everyone else.  They are
incapable of fostering any real connection with anyone and see individuals as means to
ends as opposed to ends in of themselves.  In their relationships with others,
destruction is evident.  Gatsby is destroyed by his relationship with Daisy and Tom
effectively ruins the Wilson.  In large part, Fitzgerald makes the argument that
individuals whose relationship foundation is corroded bring this level of impurity to
other relationships they foster.

In what manner do the 'lists' in Gulliver's Travels help to strengthen his arguments?Pg. 174-175 in Oxford Edition; list of politicians' illnesses.

The use of lists is a statistical device to create a sense
of truth and believability in any written work. One of Swift's primary strengths as a
writer is his propensity for using "factual" techniques to support or even exaggerate
the fictitious aspects of his works. His lists seem clinical, precise, and well reasoned
while at the same time exposing the ridiculous nature of the situation. Using
statistical devices increases our trust in the author's information; one of a satirists
greatest tactics.

solve the equation Integral sin^2xdx+Integral cos^2xdx=(x^3-4x)/(x-2)

We'll re-write the etrms from the left side of the
equation, solving the integrals.

We'll use the half angle
identities:

[cos (a/2)]^2 = (1 + cos
a)/2

[sin (a/2)]^2 = (1 - cos
a)/2

Int (sin x)^2 dx = (1/2)Int dx - (1/2)Int cos 2x dx =
x/2 - sin 2x/4 +c

Int (cos x)^2 dx  = x/2 + sin 2x/4 +
c

Now, we'll solve the equation substituting the integrals
by their results:

x/2 - sin 2x/4 + x/2 + sin 2x/4 = 
(x^3-4x)/(x-2)  

We'll eliminate like terms and we'll
factorize by x to the right side:

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

We'll re-write the difference of squares
from numerator: x^2 - 4 = (x-2)(x+2)

2x/2 =
x(x-2)(x+2)/(x-2)

We'll simplify and we'll
get:

x = x(x+2)

We'll divide
by x:

x+2=1

We'll subtract 2
both
sides:

x=-1

The
solution of the equation is x = -1.

Compare the life before the revolution and after the revolution in Animal Farm.

AFTER THE REVOLUTION

As it
was stated in the book by squealer, there were a couple of “readjustments” in their food
portions Squealer always spoke of it as a "readjustment," never as a "reduction", and he
always compaired with the days of Jones. Reading out the figures he proved to the other
animals that they had more oats, more hay, more turnips then they had had in Jones's
day, that they worked shorter hours, that their drinking water was of better quality,
that they lived longer, that a larger proportion of their young ones survived infancy,
and that they had more straw in their stalls and suffered less from fleas. The animals
believed every word of it. The reason for this being that they had forgotten what it was
like in the Jones´s days. They had forgotten their how much food they received, how many
hours they worked and if their young survived or not. Squealer put false memories into
their heads and as the animals weren´t clever enough to realise that it was all a lie.
Which caused them to accepted whatever Squealer told them as they didn't know any
better. Hence “Knowledge is power”- Sir Frances Bacon.

Contrast Desdemona, Emilia, and Bianca in their ideas about men and their relationships with their lovers in Othello.

Desdemona, Emilia, and Bianca have different opinions
about men and these opinions are manifest in the types of relationships that the three
women have with their lovers.  Desdemona feels a sense of pity for Othello after he
reveals to her the hardships of his early life.  She recognizes the fragility of
Othello's heart and character, and she tends to his weaknesses by devoting herself to
him so that he knows that she truly loves him.  Their relationship, as a result, is one
of mutual adoration.

Emilia, on the other hand, sees Iago
as her provider and superior.  Their relationship is closed and volatile--Iago hides his
schemes and intentions from his wife even though he uses her as a pawn in his
plans.

Finally, Bianca breaks the preconceived notions of
"the prostitute" and falls in love with Cassio.  Her view of love is naive, and she does
not accept that Cassio has no loving feelings towards her.  Their relationship is
superficial, one that exists for pleasure only.

What are the three main happenings in To Kill a Mockingbird?

This may be a matter of opinion, because every teacher
likes to focus on different aspects of a novel like this one. When I take a look with my
students, I find the book to demonstrate innocence in several ways, but three in
particular.

1. There is this storyline of Boo Radley
throughout the book. From the beginning, the children find him to be the persona that
the town believes: a phantom. The mystery of his character seems to turn out to be
different than their original suspicions. In fact, he ends up being a
hero.

2. The story of Tom Robinson's accusation and our
experience of his innocence as facts are revealed throughout the trial and beyond seems
to be a second major purpose of the novel.

3. Finally, the
loss of the children's innocence as they discover the problem of humanity's judgement
and Maycomb's prejudice occupies the majority of the book. This is important because
these children seemed to live a life in which they can learn from the mistakes of the
generation before them.

Your teacher may be looking for
something different, but in short, this is one way to divide the book into 3 major
happenings.

Who are the main characters in Julie of the Wolves?

By far the main character in this story is the girl the
book is named for.  She is called Julie (her white people name) or Miyax (her native
name).

The only other real human character in my mind is
Miyax's father, Kapugen.  Most of the time, he is not actually seen in the story except
in Julie's mind.

In my opinion, the most important
characters other than Miyax herself are the wolves.  I would say that there are three
major wolf characters.  The first is Amaroq, who is the leader of Miyax's pack.  The
second is the pup that she names Kapugen after her father.  Finally, there is the bad
guy among the wolves.  His name is Jello.

To me, these are
the important characters in this book.

What are some examples of imagery in "Cat in the Rain"?

As many of his other stories, Hemmingway has portrayed an
American couple as being unable to get in touch with their emotions.  The husband is
busy ignoring the wife's worries.  The cat in many ways serves as the image and the
symbol of this lack of connection between the couple.  The wife, unnamed, indicates that
she worries about the cat and does not want it to be hurt or confined by the rain.  Her
inability to free it from those constraints coincides with the fact that she is kept
confined by her husband and unable to pursue her own interests or her own
life.

In many ways Hemmingway is suggesting that the wife
feels the same way as the cat.  She cannot grow her hair out the way she wants, she
cannot go out and pursue things as she desires, just as the cat is limited by the rain. 
Of course, both of them could go out and risk getting wet or breaking all kinds of
social constraints, but at the time, this really was as unthinkable for the wife as it
was for the cat.

What are the similarities and differences between Tybalt and Mercutio? What are the Similarities and Differences between Tybalt and Mercutio in...

To me, the main similarity between these two characters is
that they both kind of like violence.  Tybalt is always ready to fight.  His first words
and his last words in the play are about fighting.  He has to be restrained from going
after Romeo at the ball.  Mercutio also is kind of hot headed.  In the scene where he
dies, he cannot wait to get at Tybalt and fight him.

The
difference between them (at least so far as we can see in their words) is that Tybalt
has no thoughts except violent ones.  By contrast, Mercutio is funny -- as in how he
makes fun of the Nurse in Act II, Scene 4.  He also talks all kinds of silly stuff in
his "Queen Mab" speech in Act I, Scene 4.

In Act 5 how are the witches 3 prophecies revealed in Macbeth?

In Act IV, Scene 1, the witches summon three apparitions.
The first apparition tells Macbeth to beware Macduff. The second apparition tells
Macbeth that “none of woman born” shall harm him. The third apparition tells
him:

Macbeth
shall never vanquish’d be until

Great Birnam wood to high
Dunsinane hill

Shall come against him
(4.1.92-94).

In Act V, Scene
4, Malcolm orders every soldier to cut down a branch from Birnam Wood to act as
camouflage. In Act V, Scene 5, a messenger reports to Macbeth that he thought he saw the
Birnam wood begin to move. He saw the troops, draped in branches moving toward
Dunsinane. The third prophecy is confirmed. In Scene 8, Macduff challenges Macbeth. The
first prophecy is confirmed. Macduff then reveals that he was “untimely” ripped from his
mother’s womb. He was born by Caesarean-section. Finally, on a verbal technicality, the
second prophecy is confirmed when Macbeth is killed by Macduff.
 

What is the current situation in Iraq?

The United States is in the process of drawing down the
number of troops we have stationed there, although that is a slow process.  American
troops have handed over control of the major cities to the Iraqi Army, and violence,
though still present, has decreased greatly.

The Sunni
Insurgency has, for the past two years, agreed to fight al-Qaeda in Iraq instead of the
US, and we have hired 80,000 of them as soldiers in what is called the "Awakening
Councils".  This was a spectacularly successful move, as they eradicated most of the
terror group in Iraq in about four months in 2007.

The
country is in the midst of elections, and the last vote was close, between the current
Prime Minister Nouri al-Maliki and a challenger.

The Shia
militias (The Mehdi Army) has disarmed for now, and are not pursuing violence, but
instead are participating in the election process.

Two of
the leaders of al-Qaeda in Iraq were killed by US forces there last week, as reported in
the news, so gains are still being made.

The country is
recovering, and there is now hope that a stable Iraq can emerge, but they have a long
way to go.  Most analysts expect an American troop presence of 30,000 - 50,000 for some
time to come.

What type of irony is there in the story?"Blues Ain't No Mockin Bird"

When the men with the cameras take pictures near the
Cains's place, Granny exhibits several times verbal irony in her speech. With verbal
irony being the saying of one thing when actually something else is meant, Granny
certainly provides several verbally ironic statements in the beginning of the story,
"Blues Ain't No Mockin Bird."

• One instance of
  Granny's verbal irony occurs when she tells the children to "Go tell that man we ain't a
  bunch of trees."  Her meaning, of course, is that she does not want the men taking
  pictures of them as though they are inanimate, or treating them as
  such.


• When the men approach and one says, "We thought
  we'd get a shot or two of the house and everything and then--"  Granny cuts him off with
  "Good mornin," with her tone indicating anything but friendliness. 
  


• As the men ask to take pictures, they seek to ingratiate
  themselves by saying "Nice things here" as he buzzes his camera over the yard; however,
  with irony, Granny retorts, "I don't know about the thing, the it, and the
  stuff."


• Then, when one man calls her "aunty," she again
  replies with irony, " I don't know about the thing, the it, and the stuff,...Just people
  here is what I tend to consider."  Here the implication is that she resents the men
  filming their yard as though what they possess is something to be regarded as a
  curiousity--"stuff" to be laughed at or scorned or
  mocked.


• Granny relates the sad tale of a man who
  contemplates suicide while a person callously films the agonizing moments as the man's
  woman stands by, and the minister and the policeman try to talk with him. About the
  person filming Granny comments, "This person takin up the whole roll of film
  practically.  But savin a few, of course."  Granny really means that the person is so
  cruel that he/she saves film in case the person jumps, so this tragic moment can also be
  recorded.  (After all, that footage will sell.)


• Finally,
  when Granny calls to Mister Cain to "get them persons out of my flower bed..." she means
  instead to get the camera men off the
  property.

In her essay, Black Women
Writers, Ruth Elizabeth Burks writes that Bambara considers the limits of
language to convey independence.  Clearly, with her verbal irony, Granny conveys her
fierce independence and desire for privacy in "Blues Ain't No Mockin
Bird."  

Why are Emilia and Bianca so important in the play Othello?

In additions to the points mstultz72 has made, it is
important to consider their functions in the plot or story of the
play.

Both do contrast with Desdemona:  Emilia's less than
ideal relationship with her husband, Iago, contrasts strongly with the deep passion
between Othello and Desdemona; while Bianca is spoken about by Cassio as a mere
plaything and certainly not wife material in any sense.

But
they also serve the plot of the play as characters in their own rights, especially as
concerns the event surrounding the handkerchief.

Emilia
finds the handkerchief that Desdemona drops and, instead of returning it to her
mistress, she gives it to Iago.  She then lies to Desdemona, claiming she doesn't know
where it is.  This one action sets into motion the escalation of Othello's jealousy and
the supposed proof that Desdemona has been unfaithful with
Cassio.

This "proof" comes from Bianca.  Iago has given the
handkerchief to Cassio, who gives it to Bianca.  It is a pivotal turning point in
Othello's jealousy when Bianca (while Othello watches in hiding) returns the
handkerchief to Cassio.  What should Othello think now?  Clearly, Desdemona has lied
about "having" the handkerchief and has given it to
Cassio??!!

This sequence of events surrounding the
whereabouts of the handkerchief are key to the development of Othello's "evidence"
against Desdemona, and Emilia and Bianca are key players in these
events.

In "Shall I Compare thee to a summer's day" According to lines 7–8, what can happen to any kind of beauty?Sonnet 18.

Shakespeare's Sonnet 18 "Shall I Compare Thee to A
Summer's Day" addresses a loved one whose beauty far outstrips that of nature's.  The
lines you are referring to are as follows:

readability="8">

And every fair from fair sometime
declines,

By chance or nature's changing course
untrimm'd

Until these lines,
the speaker explains that  nature's beauty is imperfect--a summer day can be too hot,
too windy, cloudy, or short.  Surely his beloved's beauty has none of these
imperfections. 

In the lines that you have questioned, the
speaker gives another reason that his beloved's beauty is superior:  it is eternal.  You
are correct in your inference that "fair" refers to beauty.  In this case, the speaker
declares that nature's beauty can become less so "by chance" or by "nature's changing
course untrimm'd."  "Chance" most likely means circumstances, such as injury or
sickness, that are beyond our control.  The reference to nature and its seasons most
likely refers to age that is certain to occur, phenomenon that happens in nature and in
humans.

 The subject's beauty will not change because of
circumstance or age as long as the speaker's poem lives.  He has eternalized the
subject's beauty through his poem. 

If x and y are 2 real numbers such that 5x+4y=9 and 3x+2y=5, then what is 4x+3y?

We'll have to solve the system of equations to determine x
and y.

We'll apply elimination method. For this reason,
we''ll multiply the 2nd equation by -2 and we'll add the resulting equation to the first
one.

-2(3x+2y) = -2*5

We'll
remove the brackets:

-6x - 4y =
-10

We'll add the resulting equation to the 1st
equation:

-6x - 4y + 5x + 4y = 9 -
10

We'll eliminate y and we'll combine like
terms:

-x = -1

x =
1

We'll substitute x = 1 into the 1st
equation:

5 + 4y = 9

4y = 9 -
5

4y = 4

y 
=1

Now, we'll calculate
4x+3y:

4x+3y = 4*1 + 3*1 =
7

The result of the expression 4x+3y, for x =
y = 1, is 4x+3y = 7.

What is the initial incident in "The Cask of Amontillado"?

In my opinion, the initial incident in this story is not
really even seen in the story.  To me, the initial incident is whatever Fortunato did in
the past to Montresor.

The initial incident is the thing
that leads to the rising action in the story.  To me, the rising action in this story is
the interaction between Montresor and Fortunato as Montresor maneuvers Fortunato into
going down into Montresor's wine cellars.

So the initial
incident has to be whatever caused this to happen.  In my opinion, that is the conflict
between them that is only referred to in this story.

In The Chrysalids, when Aunt Harriet's body was found in the river, why is it that no one mentioned a baby?

It is in Chapter Seven where this incident is mentioned.
Aunt Harriet comes to David's mother with her new child, having lost two of her children
already because of their deviations. Finding out that her third babe too is a deviant is
too much, and thus she goes in vain to her sister to ask for her help. The harsh reproof
she receives reflects the Storm family's unthinking devotion to the creeds they profess
and show their lack of humanity, even though David's mother herself has experienced
losing children because of their deviations. Thus when it is that Aunt Harriet, now
completely hopeless, leaves them, she drowns herself and her baby, not being able to
bear another separation. The baby is not mentioned simply because, being a deviant, it
is not regarded or considered as a human being. This of course foreshadows the way that
Petra is a deviant, albeit a hidden one.

Does Hamlet believe Polonius should use every person after their own desert in Hamlet by William Shakespeare?

The antithesis of a character such as Polonius, Hamlet
chides Polonius in Act II, Scene 2, for his characteristic remark.  For, when Hamlet, as
host to the players who have come to perform for the court of Denmark, asks Poloniusto
pay the players well so that all may go well with his
life,

Good my
lord, will you see the players well
bestow'd? Do you hear? Let them be well
used; for they
are the abstract and brief chronicles of the time. After

your death you were better have a bad epitaph than their(520)
ill
report while you
live.

Polonius foolishly
replies, "My lord, I will use them according to their desert."  For, he does not
understand as does Hamlet that the itinerant actors are the chroniclers of the
time. Hamlet tells Polonius that a bad epitaph on one's grave is preferable to all the
damage actors can do to one's reputation if they perform dramactic acts descriptive of
the courts which disparage the nobility in them.  Chiding Polonius, Hamlet recites his
own golden rule that everyone should be treated better than what they
deserve:

readability="11">

God's bodykin, man, much better: use
every
man after his desert, and who should 'scape
whipping? Use them
after your own honor
and dignity: the less they deserve, the
more
merit is in your bounty. Take them
in.

That is, Hamlet believes
that one should treat people better than they deserve, thus demonstrating one's own
honor. Such charity surely goes to one's credit, he contends.  Clearly, Hamlet
demonstrates his noble heart while the duplicitous Polonius unwittingly reveals his
own.

What do you think Lois Lowry meant when she said this book is for all the children to whom we entrust the future?

The line you mention is the dedication of the book.  I
think that the author dedicated the book in this way to show that she means the book to
be a warning to people.  She hopes that children will read the book and be inspired to
prevent our society from becoming like that of Jonas's
community.

In this book, the author is warning about the
dangers of trying to make our communities too homogeneous.  She is trying to show that
making everyone be like everyone else (and taking the danger out of our lives) is
something that will make us less human.

By dedicating this
to "children" she is trying (I think) to emphasize that the book is meant to tell us
what is valuable in human life and society.

Find the points of intersection of the curves : (y-1)^2 = x + 7 and x^2 + (y+5)^2 = 85.

We have to find the points of intersection of (y-1)^2 = x
+ 7 and x^2 + (y+5)^2 = 85.

(y-1)^2 = x +
7

=> x = (y - 1)^2 -
7

substitute in x^2 + (y + 5)^2 =
85

((y - 1)^2 - 7)^2 + ( y + 5)^2 =
85

=> (y^2 + 1 - 2y - 7)^2 + y^2 + 25 + 10y =
85

=> (y^2 - 2y - 6)^2 + y^2 + 25 + 10y =
85

=> y^4 + 4y^2 + 36 - 4y^3 + 24y - 12y^2 + y^2 +
25 + 10y = 85

=> y^4 - 4y^3 - 7y^2 + 34y - 24 =
0

=> y^4 - 4y^3 - 7y^2 + 28y + 6y - 24 =
0

=> y^3(y - 4) - 7y(y - 4) + 6(y - 4) =
0

=> (y^3 - 7y + 6)(y - 4) =
0

=> (y^3 - 2y^2 + 2y^2 - 4y - 3y + 6)(y - 4) =
0

=> (y^2(y - 2) + 2y(y - 2) - 3(y - 2))(y - 4) =
0

=> (y - 4)(y - 2)(y^2 + 2y - 3) =
0

=> (y - 4)(y - 2)(y^2 + 3y - y - 3) =
0

=> (y - 4)(y - 2)(y(y + 3) - 1(y + 3)) =
0

=> (y - 4)(y - 2)(y - 1)(y +
3)

We get y = 4 , y = 2 , y = 1 and y =
-3

As x = y^2 - 2y - 6, the corresponding values of x
are:

x = 2 , x = -6 , -7 and x =
9

The required points of intersection of the
curves are ( 2,4), (-6,2), (-7 , 1) and ( 9, -3)

Analyze "The Lottery" according to the cultural literary criticism point of view.

Jackson's short story represents much in way offering
statements about culture and the impact that it has on individuals.  The depiction of
culture is one that is both benign, yet possessing the capacity for unspeakable evil. 
The bucolic splendor of the village underlies the cruelty and savage treatment that is
perpetrated on a single member of the community.  It is the culture of the town that is
brought into focus through the short story.

There is a
uneasy alliance between "decency and evil."  Literary criticism that focuses on cultural
implications of the short story would have to start at this point in its
analysis.

How would you summarize Frankenstein in less than ten sentences?The major points of the book

(1)Mary Shelley's Frankenstein is
a macbre tale that resonates with many moral implications in which there is a
complication of good versus evil as ambition versus social responsibility.  (2)Victor
Frankenstein, whose obsession to know the wonders of science, drives him to perform
something never done before--the creation of a living being--leads him onto a path in
which his "vaulting ambition" collides with his moral responsibilities.  (3)When he
rejects the creature he had made as it is so hideous, Frankenstein unleashes misery. 
(4)Alone and isolated from human company, the creature seeks the warmth of friendship;
however, when all who see him are terrified and repulsed, in anger against his creator,
the creature retaliates by killing them.  (5)Victor refuses to acknowledge that these
murders have been committed by a creature he has made; instead, he holds his guilt
within his heart and watches his loved ones be murdered by the monster he has made. 
(6)But, it is he who is truly monstrous, for he has rejected his creature and made him
so hideous that all others reject him, too.  (7)Nevertheless. Victor's extreme pride
prevents him from confessing his and the creature's guilt, and he dies after trying
desperately to reach the creature so that he can avenge himself and his loved ones upon
it.  (8)Rescued by Captain Walton who is on his way to the North Pole, Victor
Frankenstein dies aboard ship; his creature, who has followed him, weeps openly and begs
Victor to forgive him, leaving to end his own miserable life as
well.

From whom and on what basis did the children receive their life assignments in The Giver?

Like many of the important placements of its citizens in
Lois Lowry's novel, The Giver, the Assignments for the Ceremony of
Twelve was given by the Committee of Elders. The Committee of Elders also presided over
the Matching of Spouses and the Naming and Placing of new children. The Assignments were
based on several factors, including disposition, energy level, intelligence and
interests. These factors had to interact perfectly with the Assignments (or spouses) and
they had to achieve a balance. Some of the Elders' Assignments proved to be surprises,
especially in Jonas' case.

What is the family background of Ponyboy and Johnny in The Outsiders?

Johnny lives with his parents.  Neither of them is very
nice to him at all.  If you want to see her attitude towards him, look at the part where
he is in the hospital and she is trying to visit him.  In Chapter 1, Pony says that
Johnny is often beaten by his father and that he only the gang loves him -- not his
parents.

Pony lives with his two brothers.  Their parents
both died some years ago leaving Darry, the oldest brother, to have to get a job to
support his younger brothers.

They both have family
problems, but Pony's is a loving family, unlike Johnny's.

What are some examples of ethical issues surrounding the research on human sexuality?no

Hi there
MsKitty43,

There are plenty of ethical issues
surrounding the study of human sexuality-- its important to remember when endeavouring
in this sort of research to consider all the issues at
hand.

You first have to consider what your participants are
willing to share-- is your topic going to be difficult to get answers to? You cannot
coerce interviewees into an answer. You then have to make sure that you do everything
you can to protect their identity (i.e., use initials, create nicknames,
etc.)

Short of topic and privacy, you then have to battle
with the fact that some of the questions you are asking may not in fact relate to
activities that are legal in your area. Always do your fact-checking before starting a
study, and always remember to make sure you're not putting yourself or your participants
at risk of legal action.

Lastly you should take time to
consider your interview pool-- it is important to make sure to know going into your
study what demographic you wish to address, because the results can be skewed by a poor,
or one sided, turn out.

Hope this
helps!

For what value of k will the two equations -x+k=2x-1 and 2x+4=4(x-2) have the same solution?

We'll determine the solution of the equation whose
coefficients are determined and we'll impose the constraint that the found solution to
be the solution of the equation that contains k.

We'll
solve the equation
2x+4=4(x-2):

2x+4=4(x-2)

We'll
divide by 2 both sides:

x + 2 =
2(x-2)

We'll move all terms to one
side:

x + 2 - 2(x-2) = 0

We'll
remove the brackets:

x + 2 - 2x + 4 =
0

We'll combine like terms:

-x
+ 6 = 0

-x = -6

x =
6

We'll impose the constraint that x = 6 to be the solution
of the equation -x+k=2x-1.

That means that the x=6 has to
verify the equation.

-6 + k = 12 -
1

-6 + k = 11

k = 11 +
6

k = 17

The
value of k for the given equations to have the same solution is k =
17.

In The Hiding Place, what almost happens to Corrie during a night of bombing raids?

I am assuming you mean the night that the Germans invade
Holland and the family is sitting around frightened by the sound of the
bombs?

In this case, Corrie eventually fell asleep despite
the commotion and she had a long dream which foreshadowed many of the events that would
take place after the German invasion.  She saw her family and others that she knew
riding in a wagon through the town square.  Her sister informed her that no matter what
this was a good thing as it indicated that things were in God's hands and he would guide
things according to his will.

Prove the identity: (tanx+1)/(tanx) - (secxcscx+1)/(tanx+1) = (cos x)/(sinx +cosx)

The identity that has to be proved is : (tan x + 1)/(tan
x) - (sec x * csc x + 1)/(tan x + 1) = (cos x)/(sin x + cos
x).

We know that tan x = sin x / cos x , sec x = 1/cos x
and csc x = 1/sin x.

Let's start from the left hand
side:

(tan x + 1)/(tan x) - (sec x * csc x + 1)/(tan x +
1)

=> (tan x/tan x + 1/tan x) - (sec x * csc x +
1)/((sin x/cos x)+ 1)

=> (tan x/tan x + 1/tan x) -
(sec x * csc x + 1)(cos x)/(sin x + cos x)

=> (1 +
cos x /sin x) - (csc x + cos x)/(sin x + cos x)

=>
((sin x + cos x)/sin x) - ((1 + cos x * sin x)/(sin x)(sin x + cos
x)

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

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

Use
(sin x)^2 + (cos x)^2 = 1

=> (1 + sin x * cos x - 1
)/(sin x)(sin x + cos x)

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

=> (cos x)/(sin x + cos
x)

which is the right hand
side.

This proves that (tan x + 1)/(tan x) -
(sec x * csc x + 1)/(tan x + 1) = (cos x)/(sin x + cos
x)

What is the Lewis Structure for CaSiO3 (Wollastonite)?Ca has 1 valence electron Si has 4 O has 6

The lewis dot structure for ions normally shows the
constituent elements, with their valence electrons, in brackets, with the electric
charge shown outside the bracket. For instance, the calcium ion would be shown
as

[Ca]+2

Please note that
calcium does not have one valence electron; it has two, and would thus form a +2
ion.

Silicon has 4 valence electrons, and each oxygen has
6, for a total of 22. By using the distribution method, we can determine that one of the
possible lewis dot structures for SiO3 is;

       :O: = Si
- :Ö:

                
|

               :O:

(since I
can't really draw 3-dimensionally on here, the electron pairs should be redistributed
more evenly over the "surface" of the oxygen atoms.)

This
polyatomic ion has a charge of -2, so it balances with a single calcium ion. The lewis
dot structure for this arrangement would look something
like:

[Ca] +2    :O: = Si -
:Ö:

             [           |             ]
-2

                       
:O:

with a bracket drawn around the entire SiO3
ion.

Is the theme of "Thirteen ways if looking at a Black bird" is that there is only one possible truth?

In "Thirteen Ways of Looking at a Blackbird," I believe
the author's theme is to look beyond outer characteristics. Just in the title itself,
the author encourages or suggests that there is more than one way to look at one thing.
The fact that the author chooses a blackbird for his multiple observations is ironic in
that a blackbird has no distinctiveness in its appearance, in comparison to another type
of bird, such as a peacock. The blackbird is just black with no variation in shades of
color. How ironic that the author would write of thirteen ways of looking at such a
plain, ordinary bird. For this reason, it is apparent the author is challenging the
reader to look at such an ordinary part of life in many different ways. Such a varied
study would prove to the reader that life may seem ordinary, but beyond the typical, jet
black feathers, there are interesting actions associated with the blackbird that account
for at least thirteen different ways to look at it.

Perhaps
your first interpretation of there being only one truth could be changed to thirteen
possible truths. Why would the author suggests thirteen ways of looking at something?
Why only thirteen? Why not ten as in the children's song "Ten little blackbirds sitting
in a tree?" Why not "four and twenty blackbirds" as were "baked in a pie?" Wallace
challenges the reader to look at one simple blackbird thirteen ways, not twelve which
would at least be an even, balanced number.

Even more
interesting, why does the author choose of all birds a blackbird, which has very little,
if any, outstanding features? The only thing I can really perceive, infer, is that the
author's theme is an underlying one of look beyond what you see with the physical eye.
Since reading the poem, I am now more curious than ever about what Stevens sees in a
blackbird. If this simple, yet complex, poem can so arouse my curiosity, perhaps the
author's point is well taken. Look at something again and again and again and one may
have a different perspective.

Stevens alludes to this in
stanza II..."I was of three minds, like a tree in which there are three blackbirds. How
can one person have three minds?

If you study each stanza,
the reader will see that Stevens is indicating that there is more than one way to look
at something. My favorite is stanza VII when Stevens questions the "thin men of Haddam"
about their imagining gold birds. Stevens alerts them to the fact the the simple,
ordinary blackbird brushes the feet of their women around
them.

Again in stanza VIII, Stevens "[knows] noble accents,
but he points out that "the blackbird is involved in what [he knows] as well. Here is it
inferred that the blackbird is involved in Stevens' noble knowings. Perhaps I have given
you a number of ways to look at Stevens' poem. Maybe not thirteen, but hopefully enough
to help you better understand the poem.

What do you make of Augustine's reveling in the fact that he "no longer sought a wife" once he was converted?

When Augustine arrived in Carthage at the age of 16 to
pursue advanced rhetorical studies, he was deeply troubled by lust. He fell into a
period in which he was, according to his 'Confessions' constantly thinking about sex and
frequenting prostitutes. Even in his conversions to neoplatonism and Manicheanism, he
continued to struggle with lust, and had an illegitimate son by a concubine. No matter
how much he engaged in philosophical thought or prayer, he continued to be tormented by
an over-active sexuality. Famously, as a Manichee, he used to pray "O Lord, please make
me chaste -- but not just yet." It was only after his conversion to Christianity that he
was able to move beyond this compulsive sexuality.

NB: If
you are using the Pusey translationm, remember that Pusey was an Anglican priest in the
Victorian era, and the Latin phrase he translates as "seeking a wife" actually means
something much cruder.

How did Rosa Parks contribute to society?

I think the most important contribution Rosa Parks made
was that, in her act of defiance, she proved that it is possible for a person to make a
stand against an unjust law. She may not have meant to become the figure that she did in
history, and in the greater scheme of things her action was not that huge, but what she
did was act instead of sitting idly by and allowing an unjust law to continue to
exist.

What Parks did is not much different from many other
important figures who have gotten their name into our history text books. She saw
something that was wrong with society and instead of just allowing it to continue she
did something about it. This is how revolutions begin - with one person who is wiling to
issue a challenge, to be a leader. It does not matter how many people disagree with
something if none of them are willing to take the risk and stand against what they don't
agree with.

In the poem "Sea Fever" by John Masefield, why is "Sea Fever" a good title for the poem?

"Sea Fever" is an excellent title for this poem because it
refers to the way that for some people the desire to see the sea and be close to it and
sail upon it can act in the same way as a fever, which cannot be shaken off. Note how
the all-consuming desire of the speaker dominates the poem, with each stanza beginning
with the same phrase:

readability="5">

I must go down to the seas
again...

The repetition
emphasises the way that this desire dominates the speaker and he is unable to think of
little else except for the sea and how it sounds, feels, looks, tastes and what is
associated with it. If you think of other kind of "fevers" that we can get, we can be in
a "fever" for love, when all we do is think of the object of our affection, or we can be
in a "fever" for a particular sport when an important match is being played. It is this
kind of single-minded focus to the exclusion of everything else that is captured in the
title of "Sea Fever."

What point of view (first person, third-person objetive, third-person limited or omniscient) "Eveline" uses and why?

"Eveline" is an early Joyce story, and though he has not
yet developed full stream-of-consciousness narration, he is interested in and centers on
character thoughts.  During this period of fiction writing, narration shifted from
realistic narration centering on what happens in characters' lives, to omniscient
narration centering on how characters experience what happens to them.  Fiction centers
on character thoughts in order to reveal how humans experience
existence. 

Thus, "Eveline" is third-person omniscient. 
The story centers on her thoughts.  The reader reads of her inner conflict, her
attitudes, her memories.  She's conflicted about her role as caregiver--a role usually
reserved for a mother, not a sister--and her desire for a better life.  She thinks of
the neighbor's house--he's an invading Protestant from the North.  She remembers her
mother.

In the end, the reader sees "Eveline" freeze,
literally and figuratively, as she fails to escape and chooses to remain paralyzed and
blinded in Dublin.

Discuss Huck's view of death and the afterlife in Chapter 1 of The Adventures of Huckleberry Finn.

In Chapter One, we are presented with Huck's views on what
happens to you after death and his own personal preference, which, with his child-like
logic, is actually incredibly amusing. Having been biblebashed by the Widow Douglas,
Huck decides that it is more important for him to be where his best friend is. As Widow
Douglas tells him that Tom Sawyer is not going to get to heaven, he personally opts to
go and be with Tom Sawyer. Note how he reaches this
conclusion:

readability="12">

Now she had got a start, and she went on and
told me all about the good place. She said all a body would have to do there was to go
around all day long with a harp and sing, forever and ever. So I didn't think much of
it. But I never said so. I asked her if she reckoned Tom Sawyer would go there, and she
said not by a considerable sight. I was glad about that, because I wanted him and me to
be together.

Notice how Huck
isn't actually rejecting Christianity. His understanding of religion clearly isn't very
sophisticated. Instead, Huck is just ambivalent towards religion, which represents to
him another aspect of the civilising force of society that he is so desperate to
escape.

A man buys a dozen cameras for $1800. He sells them at a profit of $36 each. Find his profit as a percentage of the selling price.

 Aman buys a dozen cameras for $1800. He sells them at a
profit of $36 each. Find his profit as a percentage of the selling
price.

Buying price of one camera=
1800/12

=150 $

Selling price
of one camera=
150+36

=186

Selling price $
186   then profit   = $36

If selling price $100 then
profit=(36 x
100)/186

=19.35

 Profit
as a percentage of the selling price=19.35

In The Freedom Writers Diary, why does Erin refer to the Nazis as the most famous gang in history?

She refers to them as a gang to demonstrate to her
students, almost all of whom are gang members or most likely future gang members, that
gangs abuse power and that they do not improve a community.  She knows that by
introducing them in such a way, her students will be interested, and then as she starts
to tell them of the atrocities that the Nazi "gang" committed against Anne Frank and her
family, she hopes that her students will start to consider what their involvement in a
gang might do to the innocent.

Similarly, after she builds
up the Nazis as one of the most powerful gangs in history, she can demonstrate through
Miep Gies (the woman who helped hide Anne and her family) that even someone who appears
to be weak and insignificant can stand up against a huge gang.

What is the nexus between Human Rights and National Consciousness?

The nexus between these two concepts is a complicated
one.  The idea of human rights can lead to a heightened national consciousness. 
However, a heightened national consciousness can erode the human rights of other
people.

As an example of this, the abuses of the human
rights of Kurds can be said to have helped that group gain a national consciousness.  As
Iraqi Kurds suffered human rights violations under Saddam Hussein, for example, they
came to have a greater sense of their national identity as Kurds (rather than as
Iraqis).  In a case like this, a concern for human rights can lead to increased national
consciousness.

However, national consciousness can "go bad"
and lead to human rights violations.  An example of this could be that of Zimbabwe. 
Zimbabweans' national consciousness was raised in their struggle against white
governments.  Under Mugabe, however, this national consciousness led to the violation of
the human rights of many white Zimbabweans (and now to the rights of black dissenters). 
In this way, excessive national consciousness can lead to the violation of the human
rights of "outsiders."

Thus, there is a complicated nexus
between these two ideas.

What are the main events and people in the religious crusades to the Holy Land?It is to support class work so it just has to be brief but accurate.

Among the more important names are Pope Urban II, who
preached the First Crusade at Cluny, France; Peter the Hermit, who led the Peasants
Crusade before the First Crusade was launched, Frederick Barbarossa and Richard I (Coeur
de Lion) who participated in the Second Crusade, and the Arabic commander,
Saladin.

Among the more important events:  The First
Crusade was the only one to succeed. The Crusaders set up a Crusader state in Palestine,
but were later overrun by the Muslims under Saladin. The Second Crusade, under Frederick
and Richard failed when Frederick died en route, and Richard plundered other areas. The
Fourth Crusade was diverted en route and never reached the Holy Land, but instead
attacked and sacked Constantinople. The city was so weakened by the attack that it never
recovered; and ultimately fell to the Turks in 1453.

Among
the other oddities of the Crusades was the Children's Crusade, preached by two young
boys in Cologne and Paris. The children expected the Mediterranean to part for them, as
Moses had parted the Red Sea, but were disappointed when it did not happen. Two
apparently well meaning gentlemen offered to help them, but they were misled. One ship
carrying the children was lost at sea; the rest were sold to the Muslims as
slaves.

Choose 6 medical terms that you may use in the career you chose i have picked Medical Office Assistant List 6 examples of medical terms that you...

Six Medical Terms likely encountered by a Medical
Assistant:

1.  Symptom: (L. and Gr. Symptoma
Anything that has befallen one).  Subjective evidence of a disease or a patient’s
condition.

Explanation:  a symptom is an
abnormal condition that the patient experiences as a result of disease.  For example
headache can be a symptom of brain tumor, abdominal pain a symptom of
appendicitis.

2.  Sign: (L. signum).  Any
objective evidence of a condition or disease that is perceptible to the examining
physician, as opposed to the subjective sensation (symptom) of the
disease.

Explanation:  A heart murmur (heard
through the stethoscope) may be a sign of valvular heart disease, for which chest pain
on exertion might be a symptom.

3.  Acute: (L.
acutus sharp).  Having a short and relatively severe
course.

Explanation:  As used in medicine,
“acute” refers to brief duration or sudden onset of symptoms or disease, and not so much
as the severity of the symptom or condition.

4. 
Chronic: (L. chronicus, Gr. Chronos time).  Persisting over a long
time.

Explanation:  A chronic disease or
condition is one that has been present for a long time, usually weeks to months rather
than days or hours (acute).  For example, appendicitis is considered an acute disease
(acute appendicitis), whereas cancer has a chronic
course.

5.  Etiology:  (Gr. Aitia cause +
logy).  The study or the theory of the factors that cause disease; and the method of
their introduction to the host. The cause(s) or origin of a disease or
disorder.

Explanation:  A medical chart might
state that a disease or condition has an infectious etiology, indicating that the
disease is caused by the introduction of infectious
organisms.

6.  Iatrogenic: (iatro + Gr. Gennan
to produce).  Resulting from the activity of physicians.  Currently applied to any
adverse condition in a patient occurring as the result of treatment by a physician or
surgeon; especially to infections acquired by the patient during
treatment.

Example:  The patient’s sepsis (blood
poisoning) was iatrogenic, occurring as a complication of his infected intravenous fluid
line.

Reference:  Doorland’s Illustrated Medical
Dictionary, 32nd. Edition, El Sevier-Mosby-Saunders, 2011.

Why did Edmund Campion have to die?

Like many other Catholic priests and leaders who were
executed during the Tudor realm, Edmund Campion (1540-1581) was also executed for his
pro-Catholic beliefs. A brilliant scholar and orator, Campion was once considered a
possible husband of the young Queen Elizabeth I. However, his Jesuit beliefs eventually
ran afoul of the anti-Catholic/pro-Church of England monarchy, and Campion was forced to
live in hiding for much of his life. He was eventually captured and returned to London
to face trial. Tortured on several occasions (including severe treatment on the rack),
Campion met with the Queen, who offered him "wealth and dignities" should he reject his
Catholic faith, which he refused to do. His conduct during various public conferences
won him many admirers. However, he was eventually indicted on conspiracy charges of
sedition and trying to dethrone the Queen. Later scholars have concluded that there was
no basis to the charges, but he was condemned to be executed as a traitor. Campion was
hanged before being drawn and quartered. He was made a saint in 1970 by Pope Paul VI and
is known as one of the Forty Martyrs of England and Wales.

Why does True Son contemplate suicide in The Light in the Forest?What does the old sycamore at the forks of the Muskingum symbolize?

True Son is determined not to be taken back to live among
the white men, but his father is unyielding, and says that he must go. When he learns
that he must leave his home the next day for Pennsylvania, he is filled with despair,
and cannot imagine living among the people he so despises. He
thinks,

"Never
would he go to this enemy land. How could he exist among a race of aliens with such
slouching ways and undignified speech! How could he live and breathe and not be an
Indian!"

Feeling that he has
no way out, True Son remembers his father's friend, Make Daylight, who had been forsaken
by his squaw, and had eaten the root of the May apple so as not to have to live with his
disgrace. Since he had been a brave warrior, the tribe had not condemned Make Daylight
for his action, and True Son feels that they would act in the same way towards him. True
Son is determined not to be taken to Pennsylvania to live among the white man. To him,
death is a far better and more honorable alternative.

The
ancient sycamore that stands at the forks of the Muskigum is symbolic of the parting of
trails that True Son must face. The tree has "one dead limb pointing to the gloomy trace
to Pennsylvania," and, on the far side, "a live branch indicat(ing) the path running
bright and free toward home." It is significant that the dead limb points toward the
land of the white man, where True Son dreads to go, while the live branch points the way
home, where True Son might live in happiness and freedom (Chapter
3).

What are some implementations and examples of the motif of death in Slaughterhouse-Five?

In Slaughterhouse-Five, Kurt Vonnegut
uses repetition  and verbal irony (understatement and litote) to reveal that Billy
Pilgrim has experienced many deaths and that death is
inevitable.

Repetition:
Vonnegut repeats "So it goes" near the ends of episodes and chapters to
underscore that "death marches on."

Verbal
Irony (understatement): Vonnegut says, "So it goes."  Not only does time
go on, but so does death.  Also, Vonnegut says that Billy Pilgrim ‘‘has seen his own
death many times."  To say that a soldier of World War II and a survivor of the Dresden
massacre has seen death many times shows that, in fact, he has seen death so much that
he has become desensitized to
it.

Litote: "So it goes" is a
phrase that avoids saying what it really means: "it" equals "death."  This is a kind of
euphemism in which the author repeats it so much that he avoids making his narration
sound so depressing.

How is the building of the church by John Merrick a central metaphor in the play the Elephant Man?

Merrick struggles throughout the play to find a normal
life, given the enormous growths on his head that lead to him being part of a freak show
for much of his early life.  He is taken advantage of frequently and struggles to have
real friendships and a sense of purpose.

But he has very
deep religious beliefs, and part of the way he expresses them is in the way he studies
and eventually constructs a model of St. Phillip's church.  The model building coincides
with his progression and the fact that he has finally found some human companionship and
has found people who are willing to listen to him and consider him
human.

As he continues the construction of the church, his
understanding of and relationships with the people around him deepen and he appears to
be moving towards a somewhat complete life including a sexual awakening through his
relationship and conversations with Mrs. Kendal.

He
finishes the model just before he dies, and in some ways the model might then be
interpreted as a model of his life.  As it reaches a completed state, his purpose and
the conflict are resolved and he is released from the difficulties of his mortal body
and its disfigurements.

Prove that the iidentity is true in any triangle: b*cosC+c*cosB=a

We'll prove this with the help from the cosine
theorem:

b^2=c^2+a^2-2ac*cosB,  cos B =
(c^2+a^2-b^2)/2ac

c^2=a^2+b^2-2ab*cosC,  cos C =
(a^2+b^2-c^2)/2ab

Now, we'll substitute cos B and cos C, by
the found expressions, so
that:

b*cosC+c*cosB=a

b*(a^2+b^2-c^2)/2ab
+ c*(c^2+a^2-b^2)/2ac = a

After reducing the terms, we'll
obtain the irreducible quotients:

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

We'll multiply the term from the right
side, by 2a:

a^2+b^2-c^2+c^2+a^2-b^2 =
2a^2

After reducing similar terms, we'll
obtain:

a^2+a^2 = 2a^2

2a^2 =
2a^2

The last result tells us that the identity,
b*cosC+c*cosB=a, is valid for any triangle.

How is the taxation process as related to income earned through foreign subsidiaries? Is the following appropriate?The tax code is written in a way...

This has to do with regulations that allow US corporations
to claim tax credits.

If a company has paid the taxes on
the income it has earned through its subsidiaries in a foreign country, it is allowed a
tax credit so it doesn't have to pay income tax on the same amount in the US again. This
benefits the corporation though it reduces US revenue.

In
the example you have provided, the company earns $100 million abroad and pays an income
tax of $20 million in the foreign country. When the income is transferred to the US, it
pays a tax at the rate of 35% prevailing in the US and then can take credit for the $20
million that have already been paid. The net income tax paid in the US to the IRS is $15
million.

As can be seen, on the whole, the company had to
pay a total income tax at the rate of 35%, but 20% were paid in the country its
subsidiary is based in and the rest in the US. This makes sense as the foreign
subsidiary has not used any infrastructure or other resources of the US, so it does not
have these kinds of obligations towards the US. Tax credits "influence the magnitude of
foreign investment" as well as implementing "tax avoidance activities of investors" in
foreign business (James R.
Hines Jr., University of Michigan and NBER).

How are others becoming suspicious of Macbeth's murder of Duncan?

In Shakespeare's Macbeth, two main
events lead to others in the play suspecting Macbeth of
treachery.

First, Macbeth kills the two grooms that could
have been witnesses of Duncan's murder.  In Act 2.3 Lennox states that the grooms seem
to have done the murder, since their daggers and hands and faces were covered in blood. 
The thanes present would of course want to interrogate them, but Macbeth makes that
impossible, announcing:

readability="9">

Oh, yet I do repent me of my
fury,

That I did kill them.  (Act
2.3.103-104)

Though no one
else says anything at the time, Macduff realizes the problem with Macbeth's killing of
the grooms:

readability="5">

Wherefore did you so?  (Act
2.3.104)

Macbeth tries to
explain his actions and play it off, so to speak, but Macduff is not convinced.  When
the time comes for Macbeth's coronation as king, instead of going to witness and
celebrate with Macbeth, Macduff instead goes home "to Fife (Act 2.4.37), further
revealing his suspicions.  And, of course, Macduff turns out to be directly involved in
Macbeth's downfall.

Second, the killing of Banquo and the
attempted killing of Fleance then lead to widespread suspicions.  In Act 3.6 Lennox and
an unidentified Lord speak sarcastically and ironically about the coincidences of
Duncan's and Banquo's deaths, as well as the deaths of the two grooms.  By this point,
too many murders have occurred for others to not suspect Macbeth of
treachery. 

Adding to the murders, is the fact that,
apparently, Macbeth has become a tyrant.  Lennox refer's to the "tyrant's feast," and
the Lord refers to Macbeth as "this tyrant."  The two hope Macbeth will be overthrown,
so that

...we
may again

Give to our tables meat, sleep to our
nights,

Free from our feasts and banquets bloody
knives,...  (Act
3.6.33-35)

Thus, Macbeth's
tyranny has made others in the play discontented, and the string of murders has made
them suspicious.

Ironically, even Lady Macbeth almost
immediately adds to the suspicion after Macbeth kills the grooms.  Macbeth veers from
her plan when he kills the grooms and Banquo, as stated.  He'd have been much better off
following her directions.  But even she reveals evidence of their guilt, even though
Banquo seems to be the only one who catches it.  When she is told of Duncan's death, she
responds:

readability="6">

What, in our house?  (Act
2.3.84)

And Banquo
understands the inappropriateness of her response and rebukes
her:

Too cruel
anywhere.  (Act
2.3.84)

Banquo understands
that there is something warped about a woman whose first thought after hearing of a
king's assassination is that it reflects badly on her hospitality.  Banquo never acts on
his suspicions, but they are certainly present in his mind. 

Why does Milton refer to the Biblical parable of the talents in his poem "When I consider how my light is spent?"

The poet John Milton became blind later in his life, and
this sonnet is one of the first that he wrote about his condition. The Biblical parable
of the talents relates how a man who does not use his God-given talents while on earth
will be punished, and Milton refers to it here because he is wondering how he will
employ his talent as a poet to its fullest extent now that he is blind. Milton calls his
gift "that one talent which is death to hide," but says it is "Lodg'd with me useless,"
now that is vision, or "light," is "spent." He would like to continue serving God with
his gift, so that he will not be "chide[d]" or scolded when God calls him to account,
but he wonders, "Does God exact day-labour, light denied," questioning whether God still
expects him to work as he did before, now that he can no longer see. The Biblical
parable is directly related to what the poet fears - that he will still be held
accountable for using his gift as he did before, even though he is now
blind.

Upon reflection, the poet finds consolation in the
realization that God, who is almighty, does not need his paltry work. God is merciful
and understanding, and Milton, now blind, can still serve him by being patient, and
bearing his suffering without complaint - "who best bear his mild yoke, they serve him
best." God's mercy transcends the literal message of the Biblical parable, and the poet
is consoled with the realization that "They also serve who only stand and
wait."