What are some of the stylistic devices used by Shakespeare in the "nunnery scene" of Hamlet (Act III, scene 1)?

In Act 3.1 of Shakespeare's Hamlet,
in the nunnery scene as you call it, Shakespeare uses a paradox  (he uses other devices,
as well, but I'll stick to this one:  the others are admirably covered
above).

Hamlet says in lines
113-115:

Ay,
truly, for the power of beauty will sooner tansform honesty from what it is to a bawd
than the force of honesty can translate beauty into his likeness.  This was sometime a
paradox, but now the time gives it proof.  I did love you
once.

Hamlet says that
beauty can turn honesty, or chastity, into a pimp or a whore, more quickly than honesty,
or chastity, can change beauty into a virgin.  Beauty can turn a woman into a bawd, but
honesty or chastity cannot change a beautiful woman into a
virgin. 

Hamlet is indirectly condemning Ophelia for the
role she is playing for Claudius and her father, Polonius--the role of spy.  She has
been hired, so to speak, to return Hamlet's gifts and pretend she doesn't love him, in
order to see how he reacts, and to help determine the cause of his
madness.  

What is the theme of Piano by D.H. Lawrence and what is the style in which he writes it?

"Piano," a poem by D.H. Lawrence, describes a man who is
listening to a woman singing and playing the piano.  This experience triggers the man's
memory and takes him "back down the vista of years" until he can see himself (in his
mind's eye) as a child listening to his mother playing the piano and
singing.

The singing woman might "burst into clamour," but
the "glamour" belongs to the man's "childish days," when he sat "in the cosy parlour"
and sang hymns to the accompaniment of "the tinkling
piano."

Although the man yearns for the past, he seems to
realize that it is irretrievable, as he says: "I weep like a child for the
past."

The poem consists of 3 stanzas, each of four lines. 
The rhyme scheme of each stanza is AA-BB.  The lines of the poem are fairly long, mostly
from 12-15 syllables each.

The poem is written in clear,
standard modern English.  There are several words that evoke the sound of the piano:
tingling, tinkling, boom.  There are also several words that tend to give the poem a
tinge of romanticism: vista, insidious, appassionato.

If cos a = - 1/3 , a belongs to ( pi, 3pi/2 ) calculate sin 2a

sin 2a=sin(a+a)=sin a*cos a + cos a*sin a = 2sin a*cos
a

We have the value for cos a, which is negative. The value
for sin a is negative and it could be found from the fundamental formula of
trigonometry.

sin a= sqrt[1-(cos
a)^2]

sin a=sqrt(1-1/9)

sin
a=2sqrt2/3

sin 2a = 2sin a*cos
a

sin 2a =
2(2sqrt2/3)(-1/3)

sin 2a =
-4sqrt2/9

Are there any similarities between the book Frankenstein and the 1931 movie version?

Of the two early film adaptations of
 Frankenstein, The Bride of Frankenstein, the
sequel to the 1931 film, starring Boris Karloff and released in 1935 by Universal, is
much more faithful to the novel.

The original
Frankenstein starred Colin Clive and Boris Karloff; it was released
by Universal in 1931.  This film is largely based on the 1920s play by Peggy Webling
rather than the original Shelley text.   The main difference is the monster's speech.
 In the book, the monster becomes very eloquent, but in the film he speaks in
monosyllabic grunts throughout.  Also, there is no Igor character in the book.  And it's
Henry instead of Victor Frankenstein.

Here are the main
similarities:

• Creation of a monster using dead
  body parts


• Dr. Frankenstein has a fiancee who is worried
  about her soon-to-be husband


• Dr. Frankenstein has a
  mentor, Dr. Waldman (same as the book, but in the movie he's a consultant in the
  process)


• Dr. Frankenstein abondons his creation and is
  later haunted by him


• Dr. Frankenstein searches to destroy
  his creation.

What does Shay's Rebellion suggest about the challenges after the American Revolution that would influence the direction of the U.S. Constitution?

It is true that this rebellion highlighted the need for a
stronger central government.  However, it is even more important to point out that the
rebellion highlighted the need (in the minds of the elite) for less democracy.  One of
the major things that the rebellion suggested was that America was too democratic.  The
Constitution was written (in part) to mitigate the influence that the people could have
on the government.

In the time leading up to Shays's
Rebellion, states were passing all sorts of laws meant to help people (especially
farmers) who were in debt.  These laws were pretty radical at times (mandatory debt
forgiveness, for example) and they scared the elite.  These laws made it very difficult
to build a good economy.  Why, for example, would anyone lend money if the government
might step in and say the money did not need to be paid back?  Without lending, the
economy dies.

The point is that democracy was making the
government do stupid things.  The people were asking the government for things that
would ultimately hurt the country.  Shays's Rebellion turned to violence when
Massachusetts' government would not enact such laws.  That really scared the elite--they
saw the potential for the common people to turn to violence to get short-sighted and
very harmful laws.

Because of this, the elite wrote the new
Constitution.  In it, power was moved away from the people.  It was given to the central
government.  That government was run mostly by people (President, Senate at that time,
Supreme Court) who were not directly elected by the voters.  This shows that a major
point of the Constitution was to reduce the amount of democracy and popular influence on
the government.

Discuss the relationship between George and Lennie in Steinbeck's Of Mice and Men.You may wish to include all of the following in your answer: -...

As critical and close readers will discover, the
relationship between the intelligent, but small and weaker George Milton and the
mentally handicapped, but large and stronger Lennie Small [notice the last names!] is
symbiotic, just as the second post clarifies. Even Lenny expresses this
relationship:

readability="6">

because I got you to look after me and you got me
to look after you, and that's
why

While George complains in
the first section of Steinbeck's novella Of Mice and Men that he
does not know why he keeps Lennie around--"I could get along so easy and so nice if I
didn't have you on my tail"--he later explains the importance of Lennie's
friendship:

I
ain't got no people....I seen the guys that go around on the ranches alone.  That ain't
no good.  They dont' have no fun.  After a long time they get mean.  They get wantin' to
fight all the time.

So,
although he is often irked with Lennie, George stays with Lennie out of commitment to
his promise to Lennie's aunt, but also because he cares about Lennie and understands
that, as Joseph Conrad wrote, "Meaning in life depends upon sharing."  This idea is
central to Steinbeck's theme of the brotherhood of man and how men fare better if they
are not alienated because, if alienated, they become mean and cruel out of their fear of
vulnerability, as does the character, Curley.  The strength to oppress others is itself
born of weakness, Steinbeck tells his readers.

Most
importantly for both George and Lennie, Lennie is the keeper of the dream.  For, without
the child-like Lennie there is no dream of a ranch and rabbits and "livin' off the fat
of the land."  It is for Lennie's sake that George repeats the dream of their having
land; George does not really believe that this dream will come to fruition--at least, at
first.  But, with his childlike friend's belief being so strong, George himself starts
to believe in a future, thus acquiring some hope in his life.  So, Lennie not only gives
George much needed love, but he also lifts George from his life "of quiet desperation"
as Thoreau wrote.

When Lennie dies, so does the dream for
George and old Candy.  And, this is why George has Lennie recite the dream one more time
before his death:

readability="9">

George shivered and looked at the gun, and then
he threw it from him, back up on the bank, near the pile of old ashes. [symbol of death
of Lennie and the
dream]

According to
Steinbeck, all men need someone to help them measure the world.  The dysfunctions and
psychological complexes of the other characters all stem from their lacking this
someone.  After all, it is the predatory human tendencies that defeat Lennie and George
in the desperate mouse maze of life of the Great
Depression.

What is the maximum value of f(x)= -2x^2 -6x + 3 ?

We have the function:

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

We need to find the maximum value of
f(x).

First we look at the coefficient of x^2 which is
negative.

Then the fucntion has a maximum
point.

Now we will find the first derivative and determine
the zeros.

==> f'(x) = -4x - 6 =
0

==> -4x =
6

==> x = -6/4 = -3/2=
-1.5

Now we will find
f(-3/2)

==> f(-3/2) = -2(-3/2)^2 - 6(-3/2) +3 =
-18/4 + 18/2 + 3 = (-18+36 + 12)/4 = 30/4 = 15/2 =
7.5

Then, the
maximum value of the function f(x) is the point

( -1.5,
7.5)