List the qualities that Portia feels a husband should have in Shakespeare's The Merchant of Venice.

In Act I, scene ii, Portia and Nerissa discuss the suitors who have come to take their chances to win Portia's hand in marriage. Since Portia cannot choose a husband for herself, for each must try his hand at choosing the correct box after deciphering a riddle, she has Nerissa remind her of the men and she will tell her the qualities that are good from each of them. Unfortunately, Portia cannot find any good qualities in any suitor who is prepared to take his chance with the caskets; thus, we can only learn what Portia believes are good qualities for a husband through deductive reasoning.

First, Nerissa names a Neapolitan prince. From him we learn that all he talks about is his horse and brags how he can shoe it himself. Then there's County Palatine who never smiles and seems depressed all of the time. From Portia's reaction to these two men, we learn that she prefers a man who is happy, smiles, does not brag, and can talk about more than just his horse.

Next, Nerissa names a French lord, a baron from England, and a Scottish lord. Portia says that the Frenchman is worse than the two previous men because he brags about himself and "he would fence with his own shadow" (I.ii.52). Then, the Englishman is fine to look at, but they don't speak the same language, so they can't understand each other. In addition, the Englishman has no fashion sense which embarrasses her. The Scottish lord, then, is nice, but he's always borrowing from the French to pay the English and this does not satisfy her. As a result, from these men we see that Portia needs a man whom she can understand and have conversations with, someone who can dress himself appropriately and fashionably, and he needs to be able to stand his own ground without needing help from anyone else.

Finally, there is a German, the Duke of Saxony's nephew, who is vile when he is sober and vile when he is drunk. She says that he is "little better than a beast" (I.ii.76). Hence, Portia needs someone who isn't a drunk, and again, someone who is polite, understands the need for manners, and can hold an intellectual conversation and is also attractive. Ironically enough, Nerissa mentions Bassanio, who isn't an official suitor, but probably the epitome of what Portia is looking for, as follows:

"a Venetian, a scholar and a soldier, that came hither in company of the marquis of Montferrat. . . He of all the men that ever my foolish eyes looked upon was the best deserving a fair lady" (I.ii.95-96, 98-99).

Portia agrees with Nerissa about Bassanio and remembers him well. This mentioning of Bassanio is a foreshadowing of his eventual arrival as it secures his place in Portia's mind as well as that of the audience. Bassanio is the one who has all of the qualities Portia seeks, but he still must decipher the riddles and choose the correct casket for her hand in marriage.

How did Boo know Jem and Scout were in trouble?

The most likely explanation is that Boo heard the children screaming (Jem yells "Run!"). Since the children had been playing games, pretending to be the Radley's, Boo had taken an interest in them. He put gifts in the tree until his father put an end to that. So, there is the distinct possibility that Boo was looking out for them, from his home. 

It is likely that he heard them because they would have been close to the Radley house when Bob Ewell attacked. The high school and elementary school are at the south end of town. Going north, coming home from the pageant, the children would go from the schoolyard, make a turn in the road, and this leads to the Radley house and eventually the Finch's home. 

In Chapter 28, when the children are on their way to the pageant, they pass the Radley's house. It is so quiet that they can (symbolically) hear a mockingbird. So, it might have been just as quiet when they were returning. Atticus didn't hear anything because he had the radio on. But the Radley house was quiet. On a quiet night, with only the birds to be heard, it is likely that Boo heard Jem tell Scout to run. They are attacked when they are near one of the two oaks near the Radley's home. This offers further proof that they were near Boo's house and makes it more likely that he would have heard their screams. 

`pi(int_-1^1(1 - y^2)^2 dy)` Each integral represents the volume of a solid. Describe the solid.

The formula provided represents the volume of the solid obtained by rotating the region enclosed by the curves `x = y^2, x = 1` , about x = 1, using washer method:

`V = pi*int_a^b (f^2(x) - g^2(x))dx, f(x)>g(x)`

You need to find the endpoints by solving the equation:

`y^2 = 1 => y^2 - 1 = 0 => (y-1)(y+1) = 0 => y = 1, y = -1`

`V = pi*int_(-1)^1 ((1 - y^2)^2 - (1 - 1)^2)dy`

`V = pi*int_(-1)^1 ((1 - y^2)^)dy`

`V = pi*int_(-1)^1 (1 - 2y^2 + y^4)dy`

`V = pi*(int_(-1)^1 dy - 2int_(-1)^1y^2 dy + int_(-1)^1 y^4dy)`

`V = pi*(y - 2y^3/3 + y^5/5)|_(-1)^1`

`V = pi*(1 - 2/3 + 1/5 + 1 - 2/3 + 1/5)`

`V = pi*(2 - 4/3 + 2/5) => V = pi*(30 - 20 + 6)/15`

`V =(16pi)/15`

Hence, evaluating the volume of the solid obtained by rotating the region enclosed by the curves `x = y^2, x = 1` , about x = 1, using washer method, yields `V =(16pi)/15.`

What three ways was the bronze bow used?

The bronze bow is a motif that Elizabeth George Speare uses throughout the novel. Not only do the characters use the bow in three different ways, but Speare uses it as a symbol with at least three different meanings.

Daniel first considers the idea of the bow of bronze when Joel reads him scripture while he is recuperating in the passageway of their home. The three friends have made a vow to fight for God's victory, and Joel offers Daniel the use of a secret entrance to their home if he wants to get a message to Joel from Rosh. Joel suggests that Daniel could "mark some sign on the wall" to let them know he was there, and Thacia suggests the sign of the bronze bow.

Second, in chapter 12 when Daniel is forming his band of men within the village to assist Rosh, they determine they need some brand to show they are all part of the group and trustworthy. Rather than taking an outward brand, which would have violated the Law, Joel suggests they "carry the sign of the bow in our minds" and use it as "our password."

Third, in chapter 15, Daniel fashions a cloak pin in the shape of a bronze bow with the pin as its arrow. He decides to keep "his experiment" as a way "to remind him of his purpose."

Speare uses the bow as a symbol in various ways as the book progresses. First, it is a symbol of the bond of friendship between Daniel, Joel, and Thacia. Second, when Daniel thoughtfully fashions the little pin while working at his blacksmith shop, he "thought again of Jesus, and his hopes flared anew." That month, when he looked back on it later, turned out to be a month of "quietness and hope." Here Speare uses the bow as a symbol of hope, showing how Daniel is beginning to open his heart toward the pleasures of his own life and toward Jesus. Third, Speare uses the bow in the final chapter to drive home her theme that love, not hate, is the road to victory. When Jesus comes to Daniel's home to heal Leah, in the face of Jesus' love Daniel realizes that "only love could bend the bow of bronze." Here the bow symbolizes love and faith in Jesus as the answer to the pain of life.

Speare uses the bow in three concrete ways with her characters and in three symbolic ways to advance the themes of her novel.

Who is most responsible for Roylott's death?

Dr. Roylott appears only once while he is still alive. This is when he storms into Holmes' sitting room and demands to know what his niece has been telling him. Holmes insolently ignores his questions, which infuriates the ill-tempered doctor even further.

“I will go when I have said my say. Don't you dare to meddle with my affairs. I know that Miss Stoner has been here. I traced her! I am a dangerous man to fall foul of! See here.” He stepped swiftly forward, seized the poker, and bent it into a curve with his huge brown hands.

The author Sir Arthur Conan Doyle's purpose in creating this confrontation was to establish that the dramatic conflict in the story was between Dr. Roylott and Sherlock Holmes. Roylott's dangerous personality hovers over the rest of the story like a black cloud. He could show up at any moment while Holmes and Watson are inspecting the rooms at Stoke Moran. If he did so, he would be likely to try to kill both men on the grounds that a man's home is a castle. A country gentleman like Roylott would be sure to have a number of hunting guns available. Holmes has asked Watson to bring his revolver along, which adds to the dramatic tension.

Since Conan Doyle based the story on a conflict between Holmes and Roylott, he must have felt it necessary to show that Holmes won that battle by causing Roylott to be killed by his own snake. Holmes actually assumes this responsibility at the very end.

"Some of the blows of my cane came home and roused its snakish temper, so that it flew upon the first person it saw. In this way I am no doubt indirectly responsible for Dr. Grimesby Roylott's death, and I cannot say that it is likely to weigh very heavily upon my conscience.”

Conan Doyle wanted Holmes to kill Roylott as a sign of complete victory in their conflict--but to do so in such a way that the detective could not be considered guilty of homicide. 

Explain how oxygen is removed from the leaves of a plant?

Plants undergo the process of photosynthesis, for which carbon dioxide is a reactant and oxygen is a product. Thus, plants need to obtain carbon dioxide from the atmosphere and release the produced oxygen into it. This exchange of gases takes place through pores on the leaves, known as stomata. These pores or openings are situated on the lower side of the leaf skin (known as epidermis) and guarded by two guard cells. The gases are exchanged, with the atmosphere, through the opening and closure of the stomata, throughout the day. At nighttime, when no photosynthesis is taking place, plants take up oxygen from the atmosphere and continue the process of cellular respiration. A side-effect of opening of stomata is the loss of water from plants (through the process known as transpiration). 

Hope this helps. 

What is salvation? Why is it important to young Hughes that he be saved?

Salvation is the act of being saved or born again in the Christian religion.  As a young man, Hughes feels the pressure to “see” Jesus when he and his other friends go to church to be saved.  Hughes is pressured by his aunt and other members of the church’s congregation to show that he has been saved.  Hughes tries and tries for it to happen, but it doesn’t.  Salvation is not something you can wish for or hope to automatically take place.  You must have deep faith in God and your religion.  At Hughes’ young age, he doesn’t understand that and becomes frustrated that it doesn’t happen to him like it does to the others in the church. In order to release the pressure he feels to be saved, he fakes it.  His family is thrilled by his act of faith, but that night, Hughes cries and is troubled by his lie and inability to find his faith. As readers, we can infer that this incident will affect Hughes views on religion for a long time to come.