HW8 - MATH 102, ASSIGNMENT 8 DUE JULY 28 Problem 1. Compute...

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Unformatted text preview: MATH 102, ASSIGNMENT 8 DUE JULY 28 Problem 1. Compute the following indefinite integrals: Z t + 2t 2 √ dt , t Z t + 2t 2 √ dt t +1 Problem 2. Compute the following indefinite integrals: Z Z 22 (3 − 4x ) dx, x(3 − 4x2 )2 dx Problem 3. Compute the following indefinite integrals: x2 + x + 1 dx, x+1 Problem 4. Find an antiderivative of Z Z f (x) = x2 + x + 1 dx x2 + 1 ln x . x which equals 1 at x = e. Problem 5. Compute the following definite integral: Z1 dx √ √ x+ x+1 0 Problem 6. Find the average of f (x) = (x − 3)−2 on [0, 2]. Problem 7. Find the area of the following bounded regions: a) y = |x|, y = 0 ; x = −2, x = 2. b) y = x3 − 4x2 + 1, y = x − 3. Problem 8. The half-life of cobalt-60 is 5.2 years. Find the time it would take for a sample of 0.5 gram of cobalt-60 to decay to 0.1 gram. J- RULE : Just answers - “yes”, “5” - won’t get you full marks, but (correctly) justified answers - “yes, because...”, “(some algebra)... (sweat sweat) ... 5” - will. 1 ...
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This note was uploaded on 07/31/2011 for the course MATH 102 taught by Professor Maryamnamazi during the Spring '10 term at University of Victoria.

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