MATH 132 Study Guide - Midterm Guide: Inverse Function, Riemann Sum, Odometer
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Section # university of massachusetts amherst department of mathematics and statistics. Instructions: turn o all cell phones and watch alarms! Put away cell phones, ipods, etc: there are seven (7) questions, do all work in this exam booklet. Show all necessary steps: answers given without supporting work may receive 0 credit, do not write anything in the table below, be prepared to show your umass id card when you hand in your exam booklet. 100: (2 8% = 16%) let f(x) =x 2 + 10. (cid:2) 10 (a) approximate the de nite integral f(x) dx by the riemann sum that uses 4 subintervals and right endpoints as the sample points. Show the individual terms of the sum before you calculate the value of the sum. 2 (b) on the graph below, draw the rectangles that correspond to the riemann sum in (a). y. 1 2 3 4 5 6 7 8 9 10 x.
