MAT 127 Midterm: mt1s08
31 Jan 2019
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Your university id number: no calculators are allowed on this exam, please show all of your work. You may use backs of pages if necessary. You might not receive full credit for a correct answer if there is no work shown: you do not need to simplify all the way (but please evaluate trig functions when possible). Acceptable answer: (4(22) 2) (4 1). 1: (20 pts) compute the following. (a) z 4. 1 x dx. (b) find a bound for the error of your estimate in part (a). (recall that esn . You do not need to simplify: (20 pts) a solid is formed by rotating the shaded region around the y-axis. 2 = 25 (a) express the volume of the solid as an integral using dx. Do not evaluate the integral. (b) express the volume of the solid as an integral using dy.
