2006_solutions - Name: April 2006 Marks [33] 1....

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Name: April 2006 Mathematics 101 Page 2 of 11 pages Marks [33] 1. Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal diFculty. ±ull marks will be given for a correct answer placed in the box, but at most one mark will be given for an incorrect answer. Unless otherwise stated, simplify your answer as much as possible. (a) ±ind the average value of cos x on the interval [0 , π ]. Answer (b) Evaluate cos 2 x dx . Answer (c) Evaluate   1 1 x 2 + 1 x 2 dx . Answer Continued on page 3
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Name: April 2006 Mathematics 101 Page 3 of 11 pages (d) Write down the Simpson’s Rule approximation S 6 for 8 2 1 x 2 dx . You may leave your answer expressed as a sum of fractions. Answer (e) Calculate the volume of the solid obtained by rotating the region above the x -axis, below the curve y = x + x 2 , and between the lines x = 1 and x = 2 about the x -axis.
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This note was uploaded on 10/26/2010 for the course MATH MATH100 taught by Professor Akos during the Spring '10 term at The University of British Columbia.

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2006_solutions - Name: April 2006 Marks [33] 1....

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