What does the phrase "knot it" imply in "Trifles"? Is there any difference between quilting and knotting?

In Trifles, John Wright is dead and the circumstances of his death are very suspicious, especially as he "died of a rope round his neck," says his wife without any display of emotion. Mr. Hale had approached the farm house wanting to talk to John about the possibility of installing a telephone line and it is he who notifies the police, as Mrs. Wright sits rocking in her chair, her apparent lack of any real awareness making Mr. Hale feel uncomfortable. 

After Mrs. Wright has been taken to the courthouse, the men who come to the house to investigate the circumstances of the assumed murder are immediately judgmental and comment on Mrs. Wright's obvious lack of "the homemaking instinct." The women jump to her defense and remind the men how difficult it is to be a farmer's wife and also how unfriendly John Wright was.

As the women gather some things to take to Mrs. Wright, they notice the quilt that she has been "piecing" and Mrs. Hale wonders whether her intentions were  "to quilt it or just knot it." The men overhear this conversation and mock the women's concerns because, while they investigate a murder, the women worry over "trifles." The county attorney even repeats the question and the women decide that she was most likely going to knot it. It is also significant that the presumption that Mrs. Wright would have intended to "knot" it is the last line of the play. 

A quilt is a blanket and so symbolizes warmth, something that Mrs. Wright never got from her husband. In this era, quilting would also have been a social activity where women would meet and help each other to quilt whilst exchanging gossip and advice. The act of knotting the quilt is a considerably easier task in blanket-making (although both methods achieve a completed quilt) and it is therefore an important reference in the play because it emphasizes the theme of loneliness and isolation as Mrs. Wright has no social circle and is much a victim as she is a potential killer. 

Does the poem "The Arab's Farewell To His Horse" by Caroline Norton shed more light on the story "Araby" by James Joyce?

I wouldn't say that the poem "sheds light" on Araby, but there is certainly a connection there.  Obviously, lets start with the title.  Arab - Araby.  The importance to this in both poems is to call to mind the culture of the East, of far away places, exotic places.  The boy in the poem has imagined the carnival to be such a place, exotic and alluring.  "The syllables of the word Araby were called to me through the silence in which my soul luxuriated and cast an Eastern enchantment over me."

Secondly, lets examine the mood of each.  There is a wistful nostalgia and disappointment in both the poem and the story.  Both speakers experience a loss.  In the poem, it is the loss of a most beloved horse.  The speaker says "Some other hand, less fond, must now thy corn and bread prepare,/The silky mane I braided once, must be another's care."  The horse is described in such a way that it seems larger than life.  The same is true of the girl in Araby.  The boy idolizes her so much that he puts her on a sort of holy pedastal.  He says, "Her image accompanied me even in places the most hostile to romance."

However, just as the speaker must give up the horse, the boy is forced to give up his illusions of both Araby the carnival and, through that, the illusion of the girl.  As he sees the petty trinkets and flash of Araby, and listens to the gossipy girl at the booth, he burns with "with anguish and anger."

Explain how productivity improvement results in motivation going up.Principles of Management 2

In general increased motivation of people improves their
productivity. However, increased productivity may also increase motivation. This will
primarily result from the encouragement provided by earlier
improvements.

As stated in the post above, increased
productivity will led to increased prosperity of the employee, which may then motivate
to try to earn even more by improving productivity further. However, there are situation
which are quite opposite of this also when the policies followed by the organization are
faulty. These there is no dearth of instances the employees, deliberately produce less
because they fear that fruits of better productivity will be fully apportioned by
employers with nothing left for the employee but the harder
work.

However at times the better productivity itself
becomes a reward in itself. People do take pride in and feel satisfied with their own
achievements irrespective of whether or not they receive external physical reward for
it. There are many people who are motivated by just the recognition, and public
knowledge of increased productivity is a form of public recognition of good performance.
There are still others who may be motivated by need for self actualisation. Such people
are motivated by their own achievements, even when these are not recognized or
appreciated by others.

Hows does Ralph Waldo Emerson's "Self Reliance" relate to ideas of "Huckleberry Finn"?

The basic ideas of Emerson's Self Reliance are 1) One must trust oneself, and 2) The ideal is to exist in the present, as nature does.

These two basic beliefs are quite prolific in Huck Finn.  Huck has always had to fend for himself since his father is a drunk and his mother is not mentioned anywhere in the book.  There is a brief period where Huck is taken in by the widow and her sister, but he "escapes" from their "sivilizing" in order to smoke and be out on the river.  He takes life as it comes, and doesn't stress over too much.  He is absolutely of the "go with the flow" of the river school of thought.  Huck and Jim deal with things as they crop up.  They do have a plan, but as things change throughout the book, they adapt their game plan as needed.  They certainly lived in the present.

Huck also struggles with his conscious where Jim is concerned.  He is upset that he is helping an escaped slave to run, but he also recognizes the friendship that has developed between them.  Huck even decides that if loving Jim and allowing him to escape to freedom means Huck will go to Hell, then he'll just go to Hell.  In a sense, he is trusting himself to make the right decision.

In Roll of Thunder, Hear My Cry, why did TJ want to get Mrs. Logan into trouble?

TJ is a tricky character.  Although he does not thrive on prejudice himself, he is happy to use it to his advantage.  He is driven by his own need for acceptance and approval.  This leads him to campaign against Mrs. Logan, not because she is ineffective as a teacher or dangerous in any way, but because she failed him twice in her class.  He resents the grade and gets revenge on her to make himself feel better.  What is ironic is that TJ's need for approval and acceptance is what causes him to be alienated.  He has no loyalty, and so others do not trust him.

How is John Proctor's Dynamic Character changed, in the book The Crucible by Arthur Miller.I was wondering about this question, so i could include...

To me, the major change in John Proctor's character is
that he goes from being a very troubled man who is wracked with guilt to being one who
is serene at the end of the play.

At the start of the play,
Proctor feels so guilty because of the fact that he had this affair with Abigail
Williams.  It haunts him and makes him think very poorly of
himself.

By the end of the play, though, he is able to
regain a positive self-image.  He gets to the point where he feels good enough that he
is willing to die to protect his good name.

What is the Initial Incident and the Exposition in "The Case of Amontillado" and how are they different?"The Cask of Amontillado" by Edgar Allan Poe

What makes "The Cask of Amontillado" so intriguing is the
gothic horror that is created by the unreliable narrator who, among many aberrrant
behaviors, never explains to the reader what "the thousand injuries" of Fortunato
are. So, there is no true
"Initial Incident" in the exposition of Poe's narrative.  Therefore, too, the exposition
is incomplete since, by definition, it is "information essential to understanding the
work."

The exposition is also part of the rising action
which the initial incident is not.  This rising action occurs after Montresor flatters
Fortunato and induces the proud connosieur to examine his new cask of Amontillado.  For,
from this action the complication and turning points and denouement
follow.