MATH 142 Midterm: MATH142 South Carolina 03Se2s
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Math 104 final exam, fall 2003: (free response) set e2x = pn(x) + rn(x), where pn and rn are the nth taylor polynomial (at a = 0) and the remainder, respectively. Rn(x) = 0: the coe cient of x3 in the maclaurin series for xex cos(x/2) is. Answer: 1/4: the interval of convergence of. Answer: 1/12: in the partial freaction decomposition of the coe cient of. Answer: 3/7 x + 4 x3 + 3x2. 2 (in the next problem you are asked to determine the convergence or divergence of three separate sums. If you get two of the three correct you will receive 1/2 credit for that problem): let. Answer: (c): a,c converge and b diverges: the volume of the solid generated by revolving the region between y = 0, x = 0, x = 2 and y = 1 + x2.
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