APPM 1345 Midterm: appm134spring2015exam3

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31 Jan 2019
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On the front of your bluebook, please write: a grading key, your name, student id, section, and in- structor"s name. This exam is worth 100 points and has 5 questions. Answers with no justi cation will receive no points. Please begin each problem on a new page. No notes, calculators, or electronic devices are permitted: (8 points) match the graphs shown to four of the following functions. 2 (cid:17) if f (u) = ln(cid:16) 3 cos 1 u(cid:17). Simplify your answer. (b) if g(x) = cax, g(1) = 3, and g(3) = 4 (c) find dy/dx given x2y = ( y)x, x > 0, y > 0. Leave your answer unsimpli ed. (d) find the local maximimum and minimum values of h(t) = (cid:0)ln(t + 5)(cid:1)2. 3 , nd the positive constants c and a. 6 (a) z e e dx x log6 x: (20 points) let f (x) = ln x.