2007_solutions

2007_solutions - Name April 2007 Marks[33 1 Short-Answer...

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Name: April 2007 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 correct answers placed in the box, but at most 1 mark will be given for incorrect answers. Unless otherwise stated, simplify your answer as much as possible. (a) Evaluate (2 y + 1) 5 dy . Answer (b) Evaluate 0 1 (2 x e x ) dx . Answer (c) Express lim n →∞ n i =1 i 4 n 5 as a de²nite integral. Do not evaluate this integral. Answer Continued on page 3
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Name: April 2007 Mathematics 101 Page 3 of 11 pages (d) Write down the Simpson’s Rule approximation S 4 for 4 0 1 1 + x 3 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 = (sin x ) /x , and between the lines x = π/ 2 and x = π about the y -axis. Answer (f) Write the form of the partial-fraction decomposition for 10 ( x + 1) 2 ( x 2 + 9) Do not determine the numerical values of the coeFcients. Answer
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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 UBC.

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2007_solutions - Name April 2007 Marks[33 1 Short-Answer...

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