MATH 114 Midterm: MATH 114 UPenn 114sp14 Exam

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31 Jan 2019
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You need to show your work, even for multiple choice problems. A correct answer with no work will get you 0 points. If you see a shortcut, you need to explain it. Please circle the answer for each multiple choice problem, and for all other problems put a square around the nal answer. You are not allowed to use a calculator or cell phone, or any other electronic device. (do not ll these in; they are for grading purposes only. ) 2: find the length of the curve given in parametric form by r(t) = 3 sin t i + 3 cos t j + 2t3/2k. for 3 t 8. Answer: (a) 30 (b) 38 (c) 25 (d) 19 (e) 27. 3: max is walking on a mountain whose height is described by h(x, y) = ex/y. Presently he is located at the point (2, 1). In what direction should he travel to get down the mountain as quickly as possible.

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