What quotes show how Willy Loman from Death of a Salesman didn't support his son Biff with the career and life he wanted on a ranch?

One of the quotes that show Willy's disappointment at Biff's choice of moving West to work at a ranch come in Act 1, after Happy and Biff discover, through Linda, that Willy has been acting irrationally, and that he is suicidal.  Willy joins the argument with an ironic statement about Biff going to the West that is meant to show rejection instead of acceptance.

As a dysfunctional family, rather than facing the problem head on, Linda and her sons talk about the topic by placing blame on one another. Happy makes an account of every single time Biff had failed at a job due to asinine reasons, such as whistling in an elevator, or taking off work just to go swimming. 

Biff's response is defensive, arguing back and forth with Happy. Biff also says that Willy is a fake and that he does not belong in the business world; that people think that he is crazy, anyways. In comes Willy, who also argues with Biff:

WILLY: I never in my life whistled in an elevator! And who in the business world thinks I’m crazy?

BIFF: I didn’t mean it like that, Pop. Now don’t make a whole thing out of it, will ya?

WILLY: Go back to the West! Be a carpenter, a cowboy, enjoy yourself!

Another quote comes later, when Happy and Biff are planning to see Bill Oliver in hopes that he would lend Biff money to start a business. Willy is excited to hear the news and prepares Biff to speak to Oliver about his previous work experience. He also gives him advice on how to act during the interview. Here, Willy says,

WILLY (unable to resist): ...if anything falls off the desk while you’re talking to [Oliver] — like a package or something — don’t you pick it up. They have office boys for that.

LINDA: I’ll make a big breakfast...

WILLY: Will you let me finish? (To Biff.) Tell him you were in the business in the West. Not farm work.

BIFF: All right, Dad.

These are two examples that show that Willy was not at all supportive of Biff's farm work. Even though love of nature is one common trait that all Loman's share, Willy prefers to suppress it, and make his children do the same, in order to chase after dreams of making money. 

What happens after the anthem in The Hunger Games?

After the anthem plays, the images of the dead appear in the sky.

During the Hunger Games, the anthem is played each night.  After the anthem is played, the cannon goes off and a picture of the tributes who died that day appears in the sky for all of the others to see.  That way they can keep track of their competition.

Night has just come when I hear the anthem that proceeds the death recap. Through the branches I can see the seal of the Capitol, which appears to be floating in the sky. … I take a deep breath as the faces of the eleven dead tributes begin and tick them off one by one on my fingers. (Ch. 11)

The purpose of the anthem and the pictures is to remind everyone of the stakes of the game and how many players are left.  It is a macabre display, and is intended to frighten the remaining tributes while it entertains those watching at home.

Katniss uses the anthem several times to cover noise she is making, and to determine who is alive and who isn’t.  For example, when the dogs drag off Cato she realizes that he is not dead yet because she doesn’t hear the cannon and see his picture.

Night falls and the anthem plays and there’s no picture of Cato in the sky, only the faint moans coming through the metal beneath us. The icy air blowing across the plain reminds me that the Games are not over and may not be for who knows how long, and there is still no guarantee of victory. (Ch. 25)

Even though Katniss and Peeta are the only ones to survive the games, at the last minute an announcement is made that says that two winners are no longer allowed.  This means that one is supposed to kill the other.  However, Katniss is not willing to kill Peeta.  She chooses to use the poisoned berries she found to blackmail the Capital into making them both winners by threatening to commit dual suicide.

The anthem and cannons are just another mind game played on the tributes.  Although it is useful information to know who died on a given day and how many competitors are left, the gruesome display serves to entertain the masses and terrorize the participants.

What is the Greeks' view about destiny in light of Oedipus Rex by Sophocles?

The ancient Greeks believed that destiny was determined at birth by the Fates--three sister gods who controlled each person's life and death. Gods ruled over the fate of each Greek, and there was nothing he/she could do to change it. Sophocles portrayed this belief in Oedipus Rex. When the audience reads that Oedipus will kill his father and marry his mother, they are shocked and do not believe that this is possible. Likewise, Oedipus does not believe it because he thinks the parents who raised him ARE indeed his parents. It is not until much later in the story that Oedipus becomes enlightened as to whom his biological parents are. Of course, eventually every one of the Oracle's prophecies come true because Oedipus' fate and the fate of those around him were pre-determined long ago. 

Why do you think we find black holes at the center of galaxies and not on the arms?

Black holes are celestial objects that are characterized by extremely high density (mass per unit volume) and exceptionally high gravitational pull. The gravitational pull of a black hole is so strong that not even light can escape it and hence the name 'black hole'. A black hole is the final life stage of a massive star. To put things in perspective, our own Sun may end up as a black hole of less than 6 km diameter. All the mass of Sun would still be there, giving it immense density and the gravitational pull would remain the same. 

The exceptionally high gravity of a black hole allows it to pull other objects towards it and hence would lie in a region of a lot of matter and gases. The centers of galaxies are ideal for that purpose, since they will contain much more matter than their peripheries. If a massive or super black hole is at the arms of a galaxy, it would start pulling everything towards it, which may cause a number of stars and other celestial bodies to rotate around it (and ultimately fall into it) and the arm would no longer remain the same. This may cause the shape of the galaxy to be distorted and a new center may form around this super black hole. Thus, black holes are ideally situated at or around the center of the galaxies.

Hope this helps.

Where did the troops stay in the book Chains?

The Quartering Act of 1765 required the colonists to provide housing and shelter to the British soldiers.  While this act did not require colonists to house soldiers in their private homes, public accommodations were to be provided at the expense of the colonies.  While the Patriots would have liked colonists to believe that British soldiers were ripping people from their beds and sleeping in their bedrooms, this simply did not happen.  Often times, the British could count on private citizens in the colonies to provide housing for them.  These people were known as loyalists.  In the book Chains, the Lockton's are very accommodating to the British soldiers fighting in the war, especially while in Charleston.  The book also makes mention of Lady Seymour housing Hessian (German) soldiers in her home.  From the book, the reader understands that there were powerful factions within the colonies that wished for a British victory in the war and were willing to provide for soldiers in their own homes to ensure this victory. 

In Animal Farm, what promise does Animalism hold for the animals? Does it sound like a good thing? What does it represent?

Animalism offers the animals a utopian existence. A life free from slavery, exploitation and abuse. Essentially, it offers them a life liberated from the tyranny of man. The concept is based on the principles of freedom, equality and brotherhood. Each animal will have the same rights and privileges as any other animal. All animals will be equal and no one animal will be superior to another.

The basic principles of Animalism were contained in Old Major's speech when he addressed the animals and shared the dream he had with them. In essence, he told the gathering that Man was their greatest enemy and that if they should be rid of him, the produce of their labour would belong to them and they would become wealthy and free. He urged the animals to prepare for rebellion and be finally rid of Man's oppression. 

When Old Major taught the animals the lyrics of a song, "Beasts of England," which had come back to him in his dream, it becomes clear how grand a life without humans would be. The song promises 'a golden future time.' that 'the fruitful fields of England shall be trod by beats alone.' All forms of repression and abuse shall disappear and there will be more than enough produce for all to share. The song also urges all the animals to work towards their ideal.

After the Rebellion, the animals worked hard to ensure that the principles contained in Old Major's speech were established and understood. It was essential that every animal knew exactly what was required and, therefore, the pigs, who were the most intelligent and had assumed leadership, formulated seven commandments to which every animal had to adhere. The commandments were created based on the principles of Animalism and were there to ensure that the animals did not adopt Man's vices and to provide safeguards so that they would never experience such oppression ever again.

It is ironic, though, that the pigs did not share the ideals contained in Animalism. They consistently altered the rules and ensured themselves certain privileges, to the exclusion of all others. A good example of this is when they claimed the milk and windfall apples for themselves. They did not perform any physical labor and chose to supervise, instruct, and command.

The pigs eventually lived a life of exclusive privilege whilst the other animals worked even harder than they had done in Jones' time. In fact, they were worse off than before. Only the pigs were much better off. The end result was that Napoleon created a dictatorship once he had gotten rid of Snowball and anyone who challenged his authority was severely punished or even executed.

In the end, the animals could not see the difference between the pigs or the humans. Life on the farm had gone full circle. The only difference was that instead of humans being the tyrants, the pigs had now taken over that role. The other animals though, were too stupid to realise that or to remeber how things had been during Jones' time. They had also been fooled and misled so many times in the past by deception, manipulation and the savagery of the pigs that they were utterly confused and unable or too apathetic to rebel.    

I want to do a research paper on classroom management. Can you help me narrow down my topic and form some sort of question?

I do not know what subject you're interested in, so I will suggest something that is important in education, pertinent to the new teaching techniques, and applicable to all teaching subjects and styles.  That subject is diversification.  We all have different learning styles and different interests. You could ask: When you have a classroom of thirty students, how do you diversify to create an atmosphere of learning that is beneficial to all students and that can be managed successfully by the teacher? 

As an example, in the field of language arts, the teacher might be teaching the genre of historical fiction and its elements.  It may be on a specific historical period or just historical fiction in general. The students are allowed to choose the book they wish to read from a list provided by the teacher.  The teacher then divides the students into four or five groups based on the top four or five novels chosen.  The teacher determines who can work together, and what needs to be learned and then develops identical or similar assignments.  How can you handle this so that the paperwork does not overwhelm the teacher?  It is not an easy task and much more complicated than I have made it sound in this answer. This is classroom management at its best.