MATH 172 Midterm: MATH172 Washington State 172fa16oldExam 3

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15 Feb 2019
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Please ll in all of the following information clearly and read the instructions below. This exam has 7 questions totalling 100 points. Numbers in the [ ] tell what each problem is worth. On this exam, unsimpli ed answers are generally okay, though we might take a point for leaving: show work or explanation on everything. You must show all relevant ln(1) cos( ) things like cos( ) cos( ) or ln(1) ln(1) or e work on the exam pages (we will grade a scan of your exam, and extra attached pages will not be scanned). 0 sin2(x) + cos2(x) = 1 sin2(x) = 1 sin(2x) = 2 sin(x) cos(x) cosh(x) = 2 [1 cos(2x)] e x + e x. 2: [6 each] find dy dx for the following functions, y = cosh3(5x + 1, y = pln(x, [6 each] find the following inde nite integrals, z sinh(x) cosh4(x) dx, z e x.