MATH 114 Final: MATH 114 UPenn Final114FallMakeup2013
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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 muzzle speed of a gun whose muzzle is at ground level, and whose maximum range is 32 feet. Take the gravitational acceleration g to be 32 feet/sec2. Answer: (a) 32 (b) 4 (c) 16 (d) 8 (e) 1 (f) 3. 3: find the arclength of the curve r(t) = sin t, ( 2. 2 , cos t from t = 0 to t = 8.