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Unformatted text preview: MATH 32B FIRST MIDTERM EXAMINATION October, 22nd, 2007 Please show your work. You will receive little or no credit for a correct answer to a problem which is not accompanied by sufficient explanations. If you have a question about any particular problem, please raise your hand and one of the proctors will come and talk to you. At the completion of the exam, please hand the exam booklet to your TA. If you have any questions about the grading of the exam, please see the instructor within 15 calendar days of the examination. Name: Section: #1 #2 #3 #4 #5 Total 1 2 english32B MIDTERM 1 RADKO Problem 1. Compute the integral I = integraldisplay integraldisplay R xy 2 x 2 + 1 dA, where R = [0 , 1] [ 3 , 3] . Solution: I = integraldisplay 3 3 y 2 parenleftbigg integraldisplay 1 xdx x 2 + 1 parenrightbigg dy = 1 2 integraldisplay 3 3 y 2 integraldisplay 2 1 du u dy = = 1 2 ln u  2 1 integraldisplay 3 3 y 2 dy = ln 2 2 y 3 3  3 3 = = ln 2 2 2 3 3 3 = 9 ln 2 ....
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This note was uploaded on 04/06/2008 for the course MATH 32B taught by Professor Rogawski during the Spring '08 term at UCLA.
 Spring '08
 Rogawski
 Math

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