MTH 142 Midterm: MTH 142 University of Rochester 2015 Summer Midterm

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31 Jan 2019
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Circle your instructor"s name along with the lecture time: George grell (9:00-11:15am mtwr: no calculators or other electronic devices are allowed on this exam, please show all your work. You may not receive full credit for a correct answer if there is no work shown: please put your nal answers in the spaces provided. Graph the function f (x) = x2 4 x2 2x. 3: (10 points) use the fundamental theorem of calculus to nd the following: (a) z 1. 0 x2 ex/2 dx (b) z 3. 4: (10 points) find the derivative of the following functions: (a) f (x) = z x2+2x+1. 0 e t2 dt (b) f (x) = z x x t sin(1 + t) dt. 5: (20 points) (a) find z 4. 2t3 1 (t4 2t)2 dt (b) find z . 6 (c) find z cot(x) dx (d) find z 1 + 2x + x2.