MATH 132 Study Guide - Final Guide: Symbolic Integration, Absolute Convergence
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Section (a, b, c, etc. ) university of massachusetts amherst department of mathematics and statistics. Instructions: turn o cell phones and watch alarms! Put away cell phones, ipods, etc: there are six (6) questions, do all work in this exam booklet. 100: (2 8 = 16%) the parts of this question are not directly related! (a) if f (1) = 12, if the derivative f is continuous, and if z 4. 1 f (x) dx = 17, then what is the value f (4)? (b) express the derivative g (x), for 0 < x < /2, as simply as possible if: g(x) = z sin x. 1: (2 8% = 16%) (a) calculate the area of the bounded region r enclosed by the curves y = x3 + 4, y = 4x2. Continuation of 2. (b) the same region r as in (a) enclosed by y = x3 + 4, y = 4x2.
