M1550-Exam4-Study-Guide

M1550-Exam4-Study-Guide - Math 1550(30 Exam 4 Study Guide...

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Unformatted text preview: Math 1550 (30) Exam 4 Study Guide Exam 4 will be on Tuesday, November 23rd, from 3:00 - 4:00. These problems should be a guide to prepare for the test. There will be a Study Session on Monday, November 22nd, from 6 - 7. 1. Calculate the sum: 100 X k =1 (10 a k- b k ) assuming that: 100 X k =1 a k = 2, and 100 X k =1 b k = 3 2. Find: (a) 6 X k =1 (2 k + 1) (b) 3 X k =1 ( k 3- 1) (c) 5 X k =1 ( k 2- 2) 3. Use elementary geometry to find: (a) Z 6 √ 36- x 2 dx (b) Z 7- 7 √ 49- x 2 dx (c) Z 3- 3 √ 9- x 2 dx 1 4. If 2 ≤ f ( x ) ≤ 5, then: ≤ Z 12 9 f ( x ) dx ≤ 5. If 1 ≤ f ( x ) ≤ 20, then: ≤ Z 102 100 f ( x ) dx ≤ 6. Assuming that R 1 f ( x ) dx = 6, R 2 f ( x ) dx = 8, and R 4 1 f ( x ) dx = 10, find: (a) Z 2 1 f ( x ) dx (b) Z 2 4 f ( x ) dx 7. Assuming that R- 1 f ( x ) dx = 2, R 2- 1 f ( x ) dx = 5, and R 5 f ( x ) dx = 10, find: (a) Z 2 f ( x ) dx (b) Z 2 5 f ( x ) dx 8. Find Z 1 d dt √ 3 + t 4 dt 9. Find Z 1 d dx ln 3 x + 1 2 x + 2 dx 10. Given below is the graph of a function f ....
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M1550-Exam4-Study-Guide - Math 1550(30 Exam 4 Study Guide...

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