Notes

Randy's positive mood is reflective of his lecture's topic. Randy knew that people might perceive his "last lecture" as focusing on death and dying.  However, Randy challenged this preconception through his choice of topic. Randy decided to make the lecture about dreams and the power of transformative hope: Sitting there, I knew that despite the cancer, I truly believed I was a lucky man because I had lived out these dreams. And I had lived out my dreams, in great measure, because of things I was taught by all sorts of extraordinary people along the way. If I was able to tell my story with the passion I felt, my lecture might help others find a path to fulfilling their own dreams. Randy's last lecture is not about his passing.  Rather, he seized it as an opportunity to talk about the beauty of dreams.   This topic contributed to Randy's very upbeat mood. Randy was convinced that his entire life was a testament to dreams being realized.  It is for this reason h...

According to Robert M. Lombardo, author of Organized Crime in Chicago: Beyond the Mafia , the study of crime in Chicago has long been plagued with controversies. While the media and public focused intense attention on notorious organized crime figures such as Al Capone, very few sociologists studied organized crime in a scholarly way. One of the few was John Landesco, who published Organized Crime in Chicago in 1929 (this book was reprinted in 1968). Landesco differed from most sociologists in the Chicago School of Sociology by laying blame for organized crime on the business community and the government of Chicago, and he advocated a reform of the social structure of Chicago, including services to integrate Sicilian immigrants into society, and the reform of the police department. He believed that the business, government, and social stratification of Chicago gave rise to organized crime, not immigrants themselves.  Another debate among historians and sociologists is how to even clas...

In Chapter 30, Sheriff Tate and Atticus are discussing what happened during the attack. Initially, Atticus believes Jem is responsible for stabbing and killing Bob Ewell. Sheriff Tate then explains to Atticus that Boo Radley was the person who killed Bob Ewell, but says he will tell the community that Bob Ewell fell on his own knife and died. Sheriff Tate then comments that he refuses to tell the community that Boo Radley heroically saved the children by defending them against Bob Ewell because it would bring Boo unwanted attention. Sheriff Tate knows Boo Radley is extremely shy and reclusive. He considers it a sin to have various citizens bothering and thanking Boo for saving Jem and Scout. Scout understands why Sheriff Tate is protecting Boo Radley and compares Boo's situation to shooting a mockingbird.

When Melba can't go out on New Year's Eve, she sits at home compiling her New Year's resolutions. At the top of her list is to survive until May 29 (the last day of school). She also resolves to have the strength not to fight back against the students who are tormenting her at Central High School, where she is part of the Little Rock Nine who are desegregating the school. Her other resolutions include understanding how Gandhi behaved when his life presented him with difficulties. Gandhi, like the Little Rock Nine, was an adherent of non-violence, and she wants to study his reaction to violence to understand how to respond to violent students and other problems in her life in a non-violent way. Clearly, her resolutions are different than those of most people of her age. 

Each of these characters is complex, just like individuals are in real life. As a result, the way they are represented is multi-faceted. Scout is presented as innocent, rowdy, intelligent, insensitive to some things and overly sensitive to others, ignorant (meaning she literally does not know certain things due to her age), moral, precocious, and genuine. Because she is only six when the book begins, she has a lot of room for growth as the story progresses. Her interactions with some people are different than others, so she is presented in different ways according to those interactions and circumstances. For example, she is a tomboy and her "rowdy" side is often seen in the chapters of the book where she is playing with Jem and Dill, or when she is getting into scraps with children at school or with her cousin Frances.  Atticus is presented in an overwhelmingly positive light in the novel. He is literally considered one of best fictional characters in literature in terms of h...

Hello! As I understand, your current annual income is $38000 at t=0, and probably y(0)=0. Then the annual income after t years is `38000*(1.02)^t.` For each next year, the retirement account balance y(t+1) becomes `y(t)*1.04+38000*(1.02)^t*1.04.` Therefore the difference y(t+1)-y(t) is equal to `y(t)*0.04+38000*1.04*(1.02)^t.` The left side is something like y'(t): `(y(t+h)-y(t))/h` for h=1 (year). A year is a discrete variable, so h cannot approach zero. Thus we obtain the differential equation `y'(t)=y(t)*0.04+39520*(1.02)^t.`

As we know, any mechanical movement of a physical body occurs only relative to some other body. The most common reference body on Earth's surface is Earth itself. We consider it "at rest," although this is relative, too. So, "Amy is cycling East at `5.7` m/s, while Colin is cycling West at `6.4` m/s" means that they have these speeds and directions relative to Earth. "Carolyn is standing" means she is at rest relative to Earth. All three persons move with constant velocities (speeds and directions) relative to each other. Relative to Amy, Colin's direction is towards her, the west direction, and the speed is the sum of their speeds relative to Earth, i.e. `5.7+6.4=12.1` (m/s). This is the answer for a) . Relative to Colin, Carolyn's speed is the same `6.4` m/s, and the direction is towards Colin, to the east. This is the answer for b) .