What is the contrast between Dally's approach to Cherry and Marcia's with Ponboy, and Cherry's response to Dally and Pony?

Dally thinks of himself as quite the charmer.  He is handsome and he knows it, although he is a "Greaser" and none of the Soc's "girls" will date him.  His approach with Cherry is forward and abrasive and Cherry rebuffs him, although it is clear she is attracted to him.  Ponyboy is shy and withdrawn and is awkward around girls, especially ones he finds pretty.  Pony would never be forward with a girl that was "out of his social class." 

Cherry is attracted to Dally, but because he is abrasive and very forward (and experienced), she rebuffs his advances (and she also does this, of course, because they didn't date "Greasers").  The Soc's and the Greasers simply didn't date each other. The social divide was very clear.  Cherry is a bit softer with Ponyboy because she knows he is very naive and innocent, in many ways.

What is Lady Macbeth's role in the murder of Duncan?

The lady is solely responsible.  Had she not read the letter, or been home when Duncan visited, he would have left without any harm coming to him.   

Lady Macbeth comes up with the idea for murdering Duncan while reading the letter her husband has sent her regarding the witches' prophecy.  From the moment Macbeth returns home, she is in his ear convincing him of the necessity of the deed. She plans it and puts the plan in action. She even says that had Duncan not resembled her own father, she would have done it herself.  After she sounds the bell to send Macbeth to Duncan's chamber and he returns with the daggers, she takes them back to the room and plants them on the guards in Duncan's bedchamber.   She is the one who insists on "a little water clears us of the deed" but she does not realize the power of a guilty conscience.  She is the first to fall to guilt, sleepwalking and then suicide.

In To Kill a Mockingbird, what does Atticus show in his cross examination of Sheriff Tate, and what are the main points in Tate's evidence?

As explained in the previous answer, we learn from Tate's evidence that the nature of Mayella's injuries would appear to suggest that she was attacked by someone who mostly used his left hand, and that he also put both hands around her throat. In the light of this evidence, the fact that Bob Ewell, Mayella's father, is left-handed takes on great significance. Atticus emphasizes Bob's left-handedness in court, although Bob, who appears decidedly dim-witted at this point, fails to see the implications.

Jem is excited; he exults that 'we've got him' (referring to Bob Ewell). However Scout at this stage is more sceptical; she thinks Tom might be left-handed too and that 'Jem was counting his chickens'. But then when Tom's cross-examination begins, she sees him clearly for the first time and realizes that he has a badly crippled left arm - as the result of catching it in some machinery when he was young. To any impartial jury, this would rule out Tom Robinson as a suspect. Of course, the point is that it is not an impartial jury, but rather one blighted by racial prejudice who goes on to convict Tom simply because he is black. Had he not been black, he likely would not even have been charged.

Tate's evidence on the nature of Mayella's injuries, then, goes right to the heart of the matter, and appears to point to Mayella's own father Bob as being her attacker; yet this evidence still proves insufficient to acquit Tom Robinson.

Who is the girl Holden never calls but says he will in "Catcher in the Rye"?What color is Allie's mitt?

Holden keeps saying he is going to call Jane Gallagher, a girl who used to "practically (live) next door to (him), the summer before last" (Chapter 4). Holden has good memories about Jane, and she is kind of an ideal for him. Jane is a dancer, and she and Holden used to play checkers together; although they weren't exactly a couple, they would sometimes hold hands. Holden thinks of her as a "good girl", and is enraged when Stradlater leads him to suspect that he had sex with her on a date.

Holden actually does try to call Jane a couple of times when he arrives in New York. While he is killing time waiting for Sally Hayes, he "figure(s) maybe "he'd give old Jane a buzz...so (he) went in a phone booth and called her up...the only trouble was, her mother answered the phone, so (he) had to hang up" (Chapter 16). Later, after his meeting with Sally, he tries again, "but her phone didn't answer" so (he) had to hang up" again (Chapter 17). Holden never does connect with Jane.

I don't believe Holden mentions what color his brother Allie's mitt is, although he does say that it had "poems written all over the fingers and the pocket and everywhere...in green ink". Holden says that the mitt was "a left-handed fielder's mitt...and that Allie wrote on it so that "he'd have something to read when he was in the field and nobody was up at bat" (Chapter 4).

In "The Cay," how does Timothy know that a storm was coming? What does he do to prepare for the storm?

Timothy was a native to the islands and so he knew that hurricane season could be upon them while they were on the island. This particular hurricane came rather early though. Timothy was nervous because he said when a hurricane came this early it was usually bad. He could feel the hurricane in the air around them and knew that he had to prepare. Perhaps he could feel the pressure and humidity change around them.

To prepare for the storm and the event that he did not live through the storm Timothy made fishing poles and hooks for Phillip. He lashed these and other supplies high on palm tree. Timothy stripped the raft of anything that looked like it could be useful and added it to their supplies. The two ate a lot of fish and coconut and drank a lot of water because Timothy thought the fish would stay away for a week. Timothy also lashed himself and Phillip to a palm as soon as the storm hit and used his own body to shield Phillip.

What are the themes of accountability, salvation and companionship the play Everyman?

The accountability demonstrated in Everyman is the sort generally accepted in traditional world views, but also specific to Christianity; every man (Everyman) is accountable for his actions, and must face a divine inquisition into his ethics once he is dead. The things of this world cannot accompany him. They offer no salvation, and if this is not obtained, his actions are not sufficient to gain heaven alone. However, salvation is possible, in part due to one's good deeds, which travel with one even beyond death.

My question is about Mrs. Slade and Mrs. Ansley in "Roman Fever". What value is there, if any, in such a competitive ''Friendship''?

Many relationships between friends have a competitive edge to them.  Think about it--two athletes, two beauty queens, to honor students--they are in friendly competition daily for the same position on the team, the same crown in a pageant, the grade point average which will land them the title of valedictorian.  These friendly competitions can encourage a higher level of performance and perhaps give the "prize" a bit more meaning and sense of accomplishment.

However, Mrs. Slade and Mrs. Ansley would never choose to be friends or even acquaintances if given the option.  They have been forced into the relationship they have based on social position by marriage and traveling in the same circles.  They competed for the love of the same man which can never come to any good.  Resentment and bitterness are the only results one can expect from such a competition.  If in fact, the competition continues throughout their lives, Mrs. Slade most definitely loses with Mrs. Ansley's slam-dunk news.  Perhaps she revels in being the thorn under her "friend's" skin as often as she can.

Ironically, the women's daughters seem to genuinely be friends.