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P11 - this A Let f x = q x 2-1 2(a Analyze the behavior of...

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Math 141, Problem Set #11 (due in class Mon., 11/28/11) Note: To get full credit for a problem, it is not enough to give the right answer; you must explain your reasoning. Stewart, section 4.3, problems 10, 12, 22, 24, 30, 48, 55, 56, 57, 58. Stewart, section 4.4, problems 10, 12, 26, 38, 48. Also, do the following additional problems. Keep in mind that the derivative of a differentiable function is not always continuous, so if a problem asks you to assume that some function f is differentiable, you should NOT assume that f 0 is continuous unless the problem explicitly authorizes you to assume
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Unformatted text preview: this. A. Let f ( x ) = q ( x 2-1) 2 . (a) Analyze the behavior of f in the vicinity of x = 0 using the First Derivative Test. (b) Analyze the behavior of f in the vicinity of x = 0 using the Second Derivative Test. Please don’t forget to write down on your assignment who you worked on the assignment with (if nobody, then write “I worked alone”), and write down on your time-sheet how many minutes you spent on each problem (this doesn’t need to be exact)....
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