MATH 1502 Midterm: MATH 1502 GT prepTest1A09sol
Document Summary
Practice test i a solutions for calculus ii, math 1502, september 1, 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. I: (25 points: find the 12-th order taylor polynomial p12(x) for the function cos(x3). cos y = 1 y2. 4! and hence setting y = x3 we get. 4: using the above result, compute an approximate value for. 240: give an estimate on how accurate the value computed in b) approx- imates the integral. 0 cos z(x3 z)5dzdx which is in magnitude less than. Ii: (25 points) compute the limits: a) b) c) ax 1 log(a)x x2 (log a)2. 2 lim a 0 (e2n + en)1/n = e2 lim n . Iii: (25 points) decide which of the following improper integrals exists and compute its values if it exists: a)
