MATH 113 Midterm: MATH 113 BYU KeyF2009A

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15 Feb 2019
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Fill in the answer to each problem on your computer-scored answer sheet. Make sure your name, section and instructor are on that sheet: find the area of the region bounded by y = e2x, y = ex, and x = ln 3. a) 2 e2 + e: none of these. b) 2 : the curve x = 12(y2 y3) and the y-axis enclose a region in the rst quadrant (see gure). Find the volume of the solid obtained by rotating this region about the x-axis. a) 12 : none of the above, what is the value of the integral z 2. 2 ln 3: 1 ln 2 e) c) f) 0: the integral diverges, none of these, find the radius of convergence of the series a) 6: what is the third non-zero term in the maclaurin series of f (x) , none of these. d)

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