MATH 1502 Midterm: MATH 1502 GT Test109sol
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Test i for calculus ii, math 1502, september 8, 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(x2). ey = 1 + y + y2. 3: using the above result, compute an approximate value for. 0 exp(x2) 1 x2 x4 dx . 9: give an estimate on how accurate the value computed in b) approximates the integral. Z)3dz since x2 1 (we integrate up to 1!). Hence the error is bounded by ex8 x44! = 1 lim n (1 + e n)en e since as n we have that x = en also tends to .
