MATH 1502 Midterm: MATH 1502 GT Test1makeup09
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Make uptest i for calculus ii, math 1502, september 15, 2009. This test is to be taken without calculators and notes of any sorts. For example, if you mean 2 do not write 1. 414 . Show your work, otherwise credit cannot be given. Write your name, your section number as well as the name of your ta on every page of this test. I: (25 points: find the 6-th order taylor polynomial p6(x) for the function exp(x3), using the above result, compute an approximate value for. 0 exp(x3) 1 x3 x6 dx : give an estimate on how accurate the value computed in b) approximates the integral. 1 cos(x2) x4 lim x 0 b) c) lim k (1 + Iii: (25 points) decide which of the following improper integrals exists and compute its values if it exists: a) Iv: (25 points) which of the following series is convergent or divergent. a) e 2 log(k) .
