math10b

# math10b - University of California San Diego Mathematics...

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Unformatted text preview: University of California, San Diego Mathematics Department MATH 10B Spring 2010 Midterm II Name Student ID TA Section • This examination booklet contains 5 problems on 6 sheets of paper including the front cover. You have 50 minutes to answer all questions. • You may use 8.5 by 11 inch ”cheat sheet”, front page only, hand written only. You may use a calculator. No books, notes, etc. are allowed. • Work each problem in the space provided. If that space is insufficient, continue on the back of the page. • Show your work. Answers without supporting work will be given little or no credit. Please do not write below this line. Points Total Question# Points 1 . / 10 2 . / 10 3 . / 10 4 . / 10 5 . / 10 Total Score /50 1. Evaluate the following integrals. Show all your work. (a) Z 3 2 x √ x- 2 dx Sol. Let u = x- 2, du = dx . Using this substitution, Z 3 2 x √ x- 2 dx = Z 1 ( u + 2) √ udu = Z 1 u 3 / 2 + 2 u 1 / 2 du = 2 5 u 5 / 2 + 2 · 2 3 u 3 / 2 1 = 2 5 + 4 3 = 26 15 (b) Z 4...
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math10b - University of California San Diego Mathematics...

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