Does Jane Austen address the theme of gender injustice in her treatment of love and marriage in Pride and Prejudice.elucidate.

From the very start of the story Jane writes in her
epilogue the subtlety ironic words:

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IT is a truth universally acknowledged, that a
single man in possession of a good fortune must be in want of a
wife.

Austen, a staunch
independent woman herself, obligingly ensured that the topics of gender injustice
prevailed and permeated throughout the story. The character of Elizabeth represents
Jane's own views and behaviors during this period in history, where women were admitted
as the property of their husbands.

Through Elizabeth, Jane
voices her opinion and frustrations albeit also her tolerance of this
reality.

First, we have Mrs. Bennett having none other than
5 children, all of them daughters- Her mission is therefore to marry them off well, or
else they will become destitute in society.

Second, the
estate in which the Bennetts live is at the mercy of their far cousin Mr. Collins ONLY
because Mr. Bennett, having 5 daughters, will die without an heir whenever he does. In
that time, properties could only be transferred from males to
males.

Charlotte, the anti-Austen, says plainly how she
will accept to marry Mr. Collins so that she can come of some property, company, and
earn social respect.

Lydia, Elizabeth's younger sister who
eloped with Wickham to  her social disgraced was married off by the generosity of Darcy
and his intentions to clean up her act and that of Wickham's. As she returns, Lydia
considers herself higher ranking than her sisters because she is now married and insists
on everyone in town knowing it.

Lady Catherine DeBourgh,
who wanted to marry Darcy to her own daughter Miss Debourgh had already that marriage
planned and flattened out simply because it was "natural" that marriage was made for the
purpose of acquiring or joining fortunes rather than for
love.

In Pride and Prejudice, the women who were happy and
content were, gladly, the women who waited for their true love. The rest were all seen
as victims of their own social limitations.

I am exploring themes in the films Schindler's List and Hotel Rwanda.I have to do an English assignment in which I have to write an essay comparing...

I think that you are on a very good track with the
identification of good and evil in both works.  I would only caution you to clearly
distill the entire dynamic.  Both works really do a good job of exploring that while
good does triumph in the particulars over evil, there is a great deal of evil that does
damage to the belief that good always wins.  In Schindler's List, for example, the film
pulls no punches about the fact that Schindler "could have done more."  He, himself,
admits to this.  The most powerful element of the work is that Keneally, and later
Spielberg/ Zallian, do a great job in exploring how individuals are poised between good
and evil polarities.  It is no accident that Goeth and Schindler are friends.  Within
each, the other sees themselves.  There is much within Goeth that Schindler can see in
his own sense of self.  Granted, at the end, it is clear that one is virtue and one is
evil.  Yet, there are points in both book and film that show an uneasy closeness, almost
intimacy, between both good and evill.  Schindler is such a complex character because
his spiritual redemption is deferred for so long in the work.  It is only later on, when
millions have died, does he awaken to his moral and ethical responsibility as a human
being.  It is important to note this because the Holocaust, like all genocides, are not
morality plays where good triumphs over evil.  They are discourses where we have to
critically examine where individual action lies in the face of a world that is morally
vague or silent to injustice.

This is probably where you
would think about going with Hotel Rwanda. In both works,
individuals, the protagonists, must undergo tremendous tests and overcome significant
inertia in order for good to be done.  Both films reflect the difficulty that good faces
in overcoming evil.  At the same time, while we might cherish and revel in the fact that
both Oskar Schindler and Paul Rusesabagina represent the very best of humanity in what
they did, the films remind us of two harsh accompanying realities.  The first is that
while these individuals are heroic, their works have to be placed in the context that so
many more were not as fortunate and so many more were silent or active collaborators
with the forces of evil.  The second truth that accompanies each is that they were the
minority of humanity at the time period.  For each hero, there were many more who failed
to join them in a collective effort or show of solidarity.  This might be the ultimate
message to us, the audience, in ensuring that we do not replicate the same sins that
these heroes' contemporaries displayed.

Discuss the sociological problems in Great Expectations.

From a sociological point of view, there is much in
Dickens' work that talks about the presence of money in one's life. The fact that Miss
Havisham was abandoned by her suitor caused sadness.  His cheating her out of money
causes her to be bitter about things, transferring this to Estella.  The stealing of
food for Magwitch in the opening section of the novel reflects the condition of needing
to steal food, a lack of resources dominating one's state of being in the world.  The
industrialized context had caused a significant change in sociological reality,
something of which Pip is a part in the context of the novel.  Pip recognizes the need
to improve himself and his standing so that he is more economically viable in this
setting.  Pip understands that the industrialized setting in which he exists is one
where success is defined by money and the possession of material wealth.  This
sociological condition is not one that Pip seeks to actively change, but rather a set of
conditions that he seeks to appropriate.  In the end, I think that this becomes the
sociological reality that surrounds Pip and a fundamental paradigm that Dickens
critiques in the novel.

Explain the most powerful scene from Cry Freedom.

You have many from which to choose.  Attenborough's film
is probably one of the best films about a topic that does not receive much in way of
treatment, Steve Biko.  I like the ending, to be honest.  When Donald Woods and his
family fly out of South African airspace, the journalist who had endured so much to
bring out the justice behind Biko's death, he recalls a conversation with Biko about the
Soweto uprising.  The scene is powerful, but Biko's voice-over about the predicament
that Black children in South Africa face is extremely poignant.  Adding to this is the
ending, which others see as a bit too cliched, where political prisoners' names who
rebelled against Apartheid and died in prison, like Biko, are shown on the screen with
the anthem, "Nkosi Sikele Africa," being sung.  I think that it's a powerful moment in
that is truly provides a transformative moment where the viewer understands that their
opinion on Apartheid and those who fight for freedom will be permanently
altered.

What is the summary of how the Allies defeated Germany?

The Allies defeated Germany by the US and Britain sitting
back and letting the Soviet Union do all the really bloody work.  For much of the war,
the US and Britain were only really fighting German in the air and on the sea.  During
that time, the Russians were losing huge numbers of men fighting Germany on the ground
and weakening Germany considerably.

The Western Allies put
some pressure on Germany by invading Northern Africa and then Italy, but the main ground
fighting was still on the Eastern Front.  When D-Day came, Germany was finally forced to
fight a two front war and quickly lost.

So the strategy was
for the US and Britain to attack Germany's industrial capacity while the US built up the
Allied arsenal.  As they did this, the Soviets did most of the fighting and dying.  When
the arsenal was built up enough, the Western Allies invaded Europe and dealt the death
blow to Germany.

show that the circles are tangent to each other x^2+y^2-6x+1=0 x^2+y^2-2y+8x-1=0.analytic geometry

The circles are tangent to each other if they touch each
other only at a single point.

We have the equation of the
circles:

x^2 + y^2 - 6x + 1 = 0
...(1)

x^2 + y^2 - 2y + 8x - 1 = 0
...(2)

Equating (1) and
(2)

x^2 + y^2 - 6x + 1 = x^2 + y^2 - 2y + 8x -
1

=> - 6x + 1 + 2y - 8x + 1 =
0

=> -14x + 2y + 2 =
0

=> -7x + y + 1 =
0

=> y = -1 +
7x

substitute this in (1)

x^2
+ (-1 + 7x)^2 - 6x + 1 = 0

=> x^2 + 1 + 49x^2 - 14x
- 6x + 1 = 0

=> 50x^2 - 20x + 2 =
0

=> 50x^2 - 10x - 10x +2
=0

=> 10x(5x - 1) - 2(5x - 1) =
0

=> (10x - 2)(5x - 1) =
0

=> x = 2/10 = 1/5 and x =
1/5

y = -1 + 7x = -1 + 7/5 =
2/5

The two circles meet only at the point (1/5 ,
2/5)

This proves that they are tangent to
each other

How do people explain the disappearances of the other people, ships and airplanes in the Bermuda Triangle?

Well, the Bermuda Triangle disappearances are a mystery,
and have been for quite some time, so the only "explanations" at this point are
theories.  The sheer size of area we're talking about is massive, so it's also possible
there are several explanations, or none at all.  It is an extremely busy shipping lane,
and everyday dozens of vessels and hundreds of aircraft pass through the so called
Triangle with no incident whatsoever.

You asked how some
people explain it, though, so here are a few ideas and theories people
have:

1)  Magnetic fields of the Earth are different in
this rea, which through off magnetic instruments like compasses and navigation
equipment, causing planes to crash and radios not to
work

2)  Supernatural forces are at work, perhaps even by
extraterrestrials, that change the laws of physics in this particular
region

3)  It's a myth, and studies of the number and type
of actual disappearances match the rates of other seas and oceans around the globe,
leading many to believe the stories of disappearance have been imagined, fabricated or
exaggerated