MATH 1910 Final: MATH 191 Cornell Final Exam Solution Fall04
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We use the simpson"s rule error estimate formula: where a = 0, b = 3, h = b a value of the fourth derivative of sin x. This means we need to nd n with n, and m = 1 is an upper bound for the absolute. Since 24 = 16 and 34 = 81 and the number of subintervals has to be even for. Simpson"s rule, we see that 4 subintervals are required: for both parts of this question you have a choice between the washer and shell methods. (a) using the washer method, the volume is. 6 (b) rewriting the curves as x = y2 and x = y and using the washer method, the volume is. 0 (y + 1)2 (y2 + 1)2 dy = z 1. 0 p1 + f (t)2 dt = z x. 0 q1 + 4t2 sinh2(t2) dt. (b) by the fundamental theorem of calculus,
