MTH 162 Final: MTH 162 University of Rochester Final09
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Indicate your instructor with a check in the box: Mwf 9:00 - 9:50 am: the presence of calculators, cell phones, ipods and other electronic devices at this exam is strictly forbidden, show your work and justify your answers. Letter grades will be computed for the two parts separately: part b will count for 20% of your course grade. Part a: (20 points) (a) find the partial fraction expansion of. Math 162 (calculus iia) (b) calculate the integral. 3x 2 x3 x2 + 4x 4. Note: the rst part of this problem was designed to help you do the second part. If you did the rst part incorrectly, you will not get partial credit for correctly using the wrong partial fraction expansion to nd the integral. Rotate the region bounded by y = 0, y = e x2 the volume of the resulting body. , x = 0 and x = 1 around the y-axis.