College Algebra, Chapter 7, 7.1, Section 7.1, Problem 30

State whether the system of linear equations $\left\{ \begin{array}{ccccc}
x & & + 3z & = & 3 \\
2x & + y & - 2z & = & 5 \\
& - y & + 8z & = & 8
\end{array} \right.$ is inconsistent or dependent. If it is dependent, find the complete solution.

We transform the system into row-echelon form.

$\left[ \begin{array}{cccc}
1 & 0 & 3 & 3 \\
2 & 1 & -2 & 5 \\
0 & -1 & 8 & 8
\end{array} \right]$

$R_2 - 2R_1 \to R_2$

$\left[ \begin{array}{cccc}
1 & 0 & 3 & 3 \\
0 & 1 & -8 & -1 \\
0 & -1 & 8 & 8
\end{array} \right]$

$R_3 + R_2 \to R_3$

$\left[ \begin{array}{cccc}
1 & 0 & 3 & 3 \\
0 & 1 & -8 & -1 \\
0 & 0 & 0 & 7
\end{array} \right]$

$\displaystyle \frac{1}{7} R_3$

$\left[ \begin{array}{cccc}
1 & 0 & 3 & 3 \\
0 & 1 & -8 & -1 \\
0 & 0 & 0 & 1
\end{array} \right]$

This last matrix is in row-echelon form, so we can stop the Gaussian Elimination process. Now if we translate the last row back into equation form, we get $0x + 0y + 0z = 1$, or $0 = 1$, which is false. This means that the system is inconsistent.

Please discuss Max's personality.

In Rodman Philbrick's novel Freak The Mighty, Maxwell Kane is the narrator. He is a quiet kid who lives in the basement of his grandparent's home. He is what most would consider a loner before he meets Kevin. He has a reading disability which is something Kevin helps him with. He has issues regarding his father, who is in jail for murdering Max's mother. Max has the size of his father but none of the rage or meanness. He is ashamed to be known as his son. He is afraid to discover the truth about his father and afraid that he may be like his father in some way. 
He is not like his father. In fact, Kevin calls him a "pacifist" at one point. When Max is confronted by bullies, he does not retaliate in any way. He embraces the role of Kevin's protector and enters Kevin's world in which the two boys are knights who right the wrongs they see in the world. 
Max is devastated when Kevin dies. The book is set up as a retrospective tribute to Kevin and how he changed Max's life for the better. 

What is the summary of Chapters 8, 9, and 10 of Where Men Win Glory?

Chapter 8 begins with Pat Tillman's incarceration for thirty days after his high school graduation. He was sentenced to serve time because of the fight he was in during his senior year. He also had to finish 250 hours of community service before reporting to Arizona State University (ASU), where he had a scholarship. He missed his girlfriend, Marie, who chose to attend the University of California, Santa Barbara. When the coach told him that he would be redshirted for a year and then stay at college for five years, Pat replied that he would only be at college for four years. While he appeared confident, he was actually very sad about leaving his family and wrote his mother and uncle, Mike, a touching letter thanking them for their help in his transition. Marie says that "he really had these two opposite aspects to his personality" (page 73).
Chapter 9 describes Pat's process of settling in at ASU. His homesickness waned, and Marie visited him once in a while and called him every day. He worked very diligently and eventually achieved a 4.0 GPA; part of the reason he worked so hard was that people assumed football players weren't academically gifted and, in Marie's words, "he liked defying expectations" (page 76). He played on special teams during his first year, and then he came off the bench occasionally in his second year. Pat started the next year, and he played a critical role in an important victory over Nebraska. His team was invited to the Rose Bowl. In the last few minutes of the game, ASU lost to Ohio State, but Pat took the loss in stride.
Chapter 10 describes how an agent named Frank Bauer, scouting another player for the NFL, first saw Pat play and told Pat he could play in the NFL. Pat was able to graduate from ASU after three-and-a-half years by taking summer classes, and then he stayed in Tempe for the draft. In the 1998 draft, he was selected by the Arizona Cardinals, and he played well enough during the exhibition games to start as a safety (transitioning from the position of linebacker that he had played in college).

What are the merits and shortcomings of the medical and social models of disability?

The social model of disability regards society as the source of a person's so-called disability. In other words, society is often organized in a way that prevents a "disabled" person from achieving his or her full potential, as society tends to regard qualities that could prove advantageous in other types of societies as disabilities. For example, according to this model, having autism is only a disability in a society that places barriers on what people with autism can do and in a society that does not recognize the benefits that autism can confer to people. The merits of this approach is that it recognizes the ways in which people with different types of disabilities can contribute to society. However, this model may overlook the ways in which an individual can use different types of help to learn how to function more effectively in society.
The medical model looks at disabilities as impairments that need to be corrected. For example, a person with autism in this model would be required to learn skills and behaviors that enable him or her to function as a "normal" person in society. This model can be helpful in providing someone with assistance in learning how to cope better in society. However, this approach can also limit a person's opportunities and can fail to recognize the ways in which he or she can contribute his or her talents to society. For example, in the medical model, a person with autism would have to learn how to function like other people; this process might limit what this person could contribute to society.

Read the below article and answer the following https://www.nytimes.com/2018/02/05/technology/silicon-valley-brotopia-emily-chang.html Were you shocked or surprised by anything in the article? [Captain Renault: I'm shocked, shocked to find that gambling is going on in here! Casablanca, 1942] Based upon your own on-the-job and life experiences, what major factors foster and contribute to negative (and positive) attitudes toward women and other minorities in the workplace and industry where you work? Has the #METOO Movement become an informal (or formal) point of discussion where you work?

This article, which includes an interview with Brotopia author Emily Chang, exposes the sexist situation in Silicon Valley, which may not be shocking to many people. According to Chang, a test devised by psychologists in the late 1960s and early 1970s screened computer programmers for traits such as antisocial attitudes. The result was that far more men than women were hired, and this in part has bred an industry in which women are not only not hired at the same rates as men, they are also routinely subjected to sexual harassment and are sometimes forced to attend what Chang describes as "sex parties." It is not entirely shocking that an industry dominated by men has unequal workplace practices, but it is clearly time for the industry to amend its ways.
You can think about how women and people of color are treated in your workplace. In many workplaces, the power structure—those who make hiring and promotion decisions—is dominated by white men. They tend to favor their own kind in hiring and promotion, meaning that it is harder for women and people of color to get ahead. In addition, many men tend to listen more attentively to ideas that come from men, not women. The chart by the EEOC (see the link below) shows risk factors for harassment, which includes a history of not having a diverse workplace and the existence of banter or talk that is degrading to women or minorities. As a result of this type of harassment, which is common at many workplaces, the #METOO Movement has become a major topic of conversation.
https://www.eeoc.gov/eeoc/task_force/harassment/risk-factors.cfm

What terms does Esther use to describe herself? How does she compare or contrast herself with Doreen and others in New York City, or with Joan and other patients in the hospital?

Esther Greenwood, the protagonist of Sylvia Plath’s The Bell Jar, takes center stage in this novel of self-discovery and alienation. The reader’s introduction to Esther instantly creates a strong juxtaposition between the two worlds she inhabits: though she is a young woman with an enviable lifestyle working at a trendy magazine and with a social life to match, internally she feels like an inanimate object, a "numb trolleybus."
How Esther describes herself encapsulates the main theme of the novel, which is Esther’s identity, or lack of identity for that matter. Like any young person, The Bell Jar’s protagonist is looking for role models all around her, the most eccentric of them being the confident and boy-chasing Doreen, which only leaves Esther feeling more lacking of an identity in comparison. After spending a night with Doreen and all her wild antics, Esther takes a long walk home, unable to recognize herself in the shop-front mirrors: she is just "wrinkled and used up," or "the reflection in a ball of dentist's mercury." There are no other women in the novel helping to boost Esther’s self-worth: the editor of the magazine she works for thinks Esther has no motivation or direction, which the young woman soon internalizes, thinking,

A girl lives in some out-of-the way town for nineteen years, so poor she can't afford a magazine, and then she gets a scholarship to college and wins a prize here and a prize there and ends up steering New York like her own private car. Only I wasn't steering anything, not even myself.

The second part of the novel replaces a tale of growing up with one of mental deterioration and suicidal ideation. Here Esther can only model herself on other patients in the hospital—some with no identity to speak of, like the lobotomized Valerie—and leaving the asylum is treated by Esther as "a ritual for being born twice." How Esther describes herself by the end of the novel is simply alive, her heart reminding her with each beat, "I am, I am, I am."

Calculus: Early Transcendentals, Chapter 4, 4.6, Section 4.6, Problem 6

f(x)=6sin(x)-x^2
Domain -5<=x<=3
f'(x)=6cos(x)-2x
f''(x)=-6sin(x)-2
Refer the graphs plotted in several ranges for clarity (attached image and links). f(x) plotted in red color,f'(x) in blue color and f''(x) in green color.
From the graph,
Absolute Maximum at x ~~ 1.2
Absolute Minimum at x=-5
Local Maximum at x ~~ -2.94
Local Minimum at x ~~ -2.66
Inflection points at x ~~ -2.8 , x~~ -0.35
The function is concave up on the interval about (-2.8,-0.35)
The function is concave down in the intervals about (-5,-2.8) and (-0.35,3)