MTH 161 Midterm: MTH 161 University of Rochester 161 Midterm 1 Spring 2007 sol
31 Jan 2019
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Circle your instructor"s name along with the lecture time: Brigitta vermesi (9:00-10:00) carl mueller (10:00-11:00: no calculators are allowed on this exam, please show all your work. You may not receive full credit for a correct answer if there is no work shown: please put your simpli ed nal answers in the spaces provided. Here are the double angle formulas: sin x cos x = cos2 x = sin2 x = 1 sin2 x + cos2 x = 1 tan2 x + 1 = sec2 x sec2 x 1 = tan2 x: (8 points) Z x3 x2 + 3 dx: (8 points) 1 (9 4x2)3/2 dx: (8 points) Z x2 + 3x x2 + 3x + 2 dx: (10 points) The density of water is 1000 kg/m3 and the gravitational constant is 9. 8 m/s2. A tank has a parabolic shape, obtained by rotating the curve y = x2 about the y-axis, between y = 0 and y = 16.
