182Exam1-Review-Spring2011

182Exam1-Review-Spring2011 - REVIEW FOR MATH 182 Exam 1...

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Unformatted text preview: REVIEW FOR MATH 182 Exam 1 Spring 2011 1. Explain why Z 5 3 1 4 x- 12 dx is an improper integral. Evaluate it if it converges. If it diverges, show why. 2. Evaluate Z 5 1 2 x + 1 dx if it converges. If it diverges, show why. 3. Evaluate Z 4 1 (2 x + 1) 3 / 2 dx if it converges. If it diverges, show why. 4. After applying the method of substitution to Z 1 t 2 t 2 + 1 dt , the integral becomes: (a) 1 2 Z 1 u- 1 2 du (b) 1 2 Z 3 1 u 1 2 du (c) 2 Z 1 u- 1 2 du (d) 1 4 Z 3 1 u- 1 2 du (e) 4 Z 1 u 1 2 du (f) 4 Z 3 1 u- 1 2 du (g) 1 4 Z 1 u 1 2 du (h) 1 8 Z 3 1 u- . 5 du 5. Write 3 X j =0 a j without sigma notation. . 6. Write 4 X k =0 (1 + k 2 ) without sigma notation and circle the correct value below. . (a) 15 (b) 34 (c) 30 (d) 28 (e) 35 (f) 38 (g) none of these 7. Write 3 X j =0 (- 1) j- 1 2 j without sigma notation and circle the correct value below. . (a)- 5 (b) 5 (c) 15 (d)- 6 (e)- 15 (f)- 14 (g) none of these 8. Express lim || P || n X k =1 c k x k as a definite integral where P is a partition of [1, 3].as a definite integral where P is a partition of [1, 3]....
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This note was uploaded on 02/23/2012 for the course CS 135 taught by Professor Gewali during the Spring '08 term at University of Nevada, Las Vegas.

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182Exam1-Review-Spring2011 - REVIEW FOR MATH 182 Exam 1...

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