Notes

We are asked to graph the function `y=-6/x+4 ` : Note that this is a transformation of the graph of y=1/x with a translation of 4 units up, a reflection over the horizontal axis, and a vertical dilation of factor 6. There is a vertical asymptote at x=0, and a horizontal asymptote at y=4. The x-intercept is at 3/2. The graph:

In Act III, Scene 1, both Mercutio and Tybalt are killed in a street fight. Mercutio is stabbed by Tybalt while Romeo is attempting to break up the fight. Once Mercutio dies, Tybalt, who had run away, inexplicably returns to the scene where he is promptly challenged and killed by the grieving Romeo. When the Prince arrives, he listens to Benvolio, who had been a witness to the violence, give an account of the fight. Benvolio explains truthfully, although Lady Capulet says he is lying. Her version, however, is actually full of lies, claiming that the Montagues had ganged up on Tybalt. She demands the death penalty for Romeo. The Prince listens and his judgement is that Romeo should be banished from Verona. This verdict is unacceptable to Lady Capulet because earlier in the play the Prince had decreed that the penalty for fighting in the streets would be death, with no exceptions. The Prince's decision is fair for three reasons. First, Tybalt instigated the fight by challenging Romeo...

At first glance, it might appear as if the characters in  The Outsiders  by S. E. Hinton and  Romeo and Juliet  by William Shakespeare do not have much in common; however, when one isolates the core of the conflicts, it becomes clear that the relationships in both stories are rooted in rivalry and secrecy.  In both  The Outsiders  and  Romeo and Juliet , an overarching theme is rivalry. While   socioeconomic status separates the greasers from the Socs in The Outsiders , last names separates the Montagues from the Capulets, who appear to be relatively equal in terms of socioeconomic status. Due to these rivalries, there are instances of deadly interactions in both stories. In  The Outsiders , Johnny kills Bob (whether his actions were justified or not is debatable). In  Romeo and Juliet , Romeo kills Tybalt and Paris, and Tybalt kills Mercutio. These deaths have profound effects on the main characters. In Ponyboy's case, the Johnny's death and other events in the novel inspire h...

At the beginning of Chapter 3, Nick observes that each Friday, a fruiterer from New York sends five crates of lemons and oranges to Gatsby's house. Each Monday, after a weekend of parties, "these same oranges and lemons left his back door in a pyramid of pulp-less halves" (43). Gatsby owns a device by which the juice of 200 lemons can be removed in half an hour. The guests are similar to the fruit because, after a weekend of carousing, they also leave Gatsby's house in a state of waste and destruction. Just like the fancy food that arrives at Gatsby's house, the guests are just for show. Gatsby doesn't care much which guests or what food arrives at his house. He only cares that they present a facade of having a good time and meeting the expectations of the upper crust, particularly Daisy. 

Magma is another name for molten rocks. Due to the heat of Earth's interior, rocks melt and rise to the surface. If there is an opening in the Earth's crust, the molten rocks flow over the surface and are known as lava. This is observed during volcanic eruptions. The melting of rocks is a function of temperature. The higher the temperature, the more rock melts and the less viscous the magma is. It should be noted that there are a variety of rocks in the Earth's mantle and they melt at different temperatures. If the temperature is lower, only some rocks (generally the ones with more silicon content) will melt. Thus, at lower temperatures, we will observe magma with high silicon content. Temperature also affects the final magma composition and structure. For example, at lower temperatures, the magma crystallizes faster.  Hope this helps. 

Baldwin's "Sonny's Blues" takes place in the pre-civil rights era in Harlem, which was and still is a largely African-American part of New York City. The title of the story is a play on words, since "blue" is a synonym for depression and the blues is a form of music based upon people's problems, a form generally credited as African-American in origin.  The narrator tells the story of his younger brother, Sonny, who is a gifted pianist, but who has struggled with drug addiction and has been incarcerated as a result. We learn of the boys' early lives and the tragic legacy of the boys' father, who watched his guitar-playing brother get run down and killed by a group of drunken white men. This is a story of despair and hope that has a great deal to teach us about darkness and pain, about the failure and endurance of fraternal love, about the curse of drug addiction, and about the gift of musical genius. The boys' early lives are lived in poverty,...

Chapter three is pivotal chapter in the book. This is the chapter where Lockwood tries to spend the night in the crazy old fashioned bed that had been Catherine’s, sees her carvings in the window sill, reads from her journal, and has the horrible dream about the sermon and Catherine at the window trying to get in. Even though Lockwood has only dreamed about Catherine’s ghost “walking the earth these twenty years,” in practical terms Catherine’s spirit has haunted him – her spirit clearly dominates the room. This is no doubt the reason, as Zillah says when she leads Lockwood to the room at the start of the chapter, that Heathcliff had “an odd notion” about the room. But then, she says, there had been “so many queer goings on” she couldn’t begin to explain. Zillah’s resignation suggests that she is an unwilling spectator to Heathcliff’s psychological battle with Catherine, in the same way that Lockwood becomes an unwilling (and unwitting) participant. Heathcliff’s reaction to Lockwood’s ...