APPM1360Fall07Test1

APPM1360Fall07Test1 - APPM 1360 EXAM #1 September 26, 2007...

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APPM 1360 EXAM #1 September 26, 2007 On the front of your bluebook, please write: a grading key, your name, student ID, and section and instructor (Dougherty, section 10 or Li, section 20 with lecture at 1 pm or section 30 with lecture at 2 pm ). This exam is worth 100 points and has 5 questions. A list of formulas is given on the back of this exam. Show all work! Answers with no justification will receive no points. 1. (20 points) Find the requested information. (a) Find dy/dx for y = ln(cosh x )). (b) Z 1 x + x dx (c) Find the area between the curve y = 2 ln x x and the x -axis from x = 1 to x = e . Simplify your answer. 2. (15 points) Solve (e.g. find an explicit formula for y in terms of x ) the initial value problem given by dy dx = e x ( y 2 + 4) with y (0) = 2. 3. (15 points) A solid lies between planes perpendicular to the x -axis at x = - 1 and x = 1. The cross sections perpendicular to the x -axis between these planes are vertical squares whose base edges run from the semicircle
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APPM1360Fall07Test1 - APPM 1360 EXAM #1 September 26, 2007...

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