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HOME WORK (1) The length of a 12-foot by 8-foot rectangle is increasing at a rate of 3 feet per second and the width is decreasing at 2 feet per second (see figure below). How fast is the perimeter changing? Solution Given dl/dt=3 And dw/dt=-2 Then dp when l=12 ft and w=8ft Perimeter= 2l+2w Dp/dt=d/dt{2l+2w} =2dl/dt+2dw/dt=2(3)+2(-2) =2 ft/sec How fast is the area changing? Solution Given dl/dt=3, dw/dt=-2 Da/dt when l=12 ft , w=8ft Area=lxwDa/dt=d/dt{lxw} =Dl/dt*w+dw/dt*l =3(8)+ 12(-2) =0 ft2/sec (c) Find all critical points and local extremes of the following function on the given intervals. f (x) = 2-x3 on Solution To find the critical points, take...

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home. From the two sessions, I have been at the bench near B$G coffee shop with each session made up of 60 minutes I have noticed a slight difference in the operation of the coffee shop, and I have been able to observe all the activities inside the coffee shop. During that two session, I experienced similar challenges as an observer while obtaining the qualitative data. One of those significant problems was Hawthorne effect whereby I am sure the employees of B&G noticed me due to my strategic and same sitting position for an extended period. The behavior of the employees might have changed because they realized that they were being watched. I couldn’t have avoided this challenge because I...

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home as per the text. Simon tells Stephen, “I was standing at the end of the South Terrace one day with some maneens like myself,” (Joyce 80). Work Cited Joyce, James. A Portrait of the Artist as a Young Man. Collector’s Library, 2005. Print....

home an hour earlier. He borrows a horse from a neighbor and sets out, riding for the farmer’s house. Ichabod enjoys the party, and especially the food. In this mood, he fantasizes of how he would ask Katrina again to marry him. The party ends, and Ichabod goes home, with his horse. While on the way, he notices that a horseman is following him, he tries to ride faster, but he is not a skilled rider. Ichabod gets very shocked when he realizes that the man seems to have no head. The rider rides fast and soon catches up with Ichabod. After that night, Ichabod is never heard of in the town again. Works cited Irving, Washington. The legend of sleepy hollow. Washington Irving,...

home in the 1990s. The cause of Schiavo's situation was lack of adequate oxygen intake in her system, which caused her condition for two months and two weeks. Schiavo entered into a vegetative state that created a dilemma regarding the most appropriate means of terminating her suffering (Destro, 2008). Schiavo's family and her husband conflicted the most ethical means to minimize her pain at the hospital (Hook, & Mueller, 2005). The two alternatives available for her state were death via euthanasia and surviving with machine assistant. The stakeholders involved in this case include Schiavo's husband, her family, and the doctors. Assisted death is one of the most controversial issues in medicine....

home to many glaciers. The national park contains glaciers formed as a result of warming and cooling patterns during the ice ages leading to their advancement and expansion. According to Key, These glaciers got created more than 7000 years ago. The Glacier National Park had about 25 active glaciers out of 37 in 2010 down from 150 in the 1850s. Glacier National Park contains glacier landforms which include u-shaped valleys, horns, cols, cirque lakes, and moraines. These glacier landforms got formed by cooling and warming of passing ice age glaciers. Womble holds that in the past one century, glaciers have disappeared at a high rate. In the year 1980s, the park had a total number of about 150...

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home or in the church. Soon after her daughter left, she smiles knowing that she will be safe, but her smile is short-lived when she hears an explosion outside. Despite her sincere belief in the church as one of the safest places in the city, she runs as fast as she can to search for her daughter (Randall n.p). When she decides to go outside, she is astonished to find that her daughter was dead after being caught up in the church bombings. This situation reveals two cases of irony. First, it is ironical that people are killed in the church where it is considered to be the safest place in a city that is marred with violence all over. It is also ironical that this happens on Freedom Day which is...

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home and visiting friends and relatives both near and fear. I could only make unnecessary travels and/or ready novels and magazines at home. At times I could visit the prisoners and orphanage around the home as well as attending our church camp meeting. During this time of breaking norm also, I could attend political conferences in our county even when not invited. I also did play in our local football league. People, both my neighbors and relatives thought that the company where I used to work had failed (Posner, 2009). Others thought that maybe I was sick or maybe I was laid off. In fact, many came to visit me and check what was wrong with me that I was at home. People had different reactions to...

home, leaving him lonely. In a nutshell, the entire story is ironic; the first scene progressively builds the reader’s expectation that the protagonist would be a happy man in the long run. However, that does not happen as the man ends up so unhappy with events unfolding in his life. Work Cited Halliday, Mark. Young Man on 6th Avenue....

home, both Michelle and her dad could not help but envision the future trying to picture the outcome of the long journey they were about to take together. A journey of dedication, teamwork, and learning.References Public Health Council. (2018). The benefits of pet ownership for children. Retrieved from....