Assignment 7 -solutions

# Assignment 7 -solutions - nanni(arn437 Assignment 7...

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nanni (arn437) – Assignment 7 – guntel – (54940) 1 This print-out should have 3 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points ±ind the volume, V , oF the solid obtained by rotating the region bounded by y = 2 x , x = 2 , x = 5 , y = 0 about the x -axis. 1. V = 3 5 2. V = 3 5 π 3. V = 6 5 π correct 4. V = 3 10 π 5. V = 3 10 6. V = 6 5 Explanation: The volume oF the solid oF revolution ob- tained by rotating the graph oF y = f ( x ) on [ a, b ] about the x -axis is given by volume = π i b a f ( x ) 2 dx . When f ( x ) = 2 x , a = 2 , b = 5 , thereFore, V = π i 5 2 4 x 2 dx . Consequently, V = π b - 4 x B 5 2 = 6 5 π . 002 10.0 points ±ind the volume oF the paraboloid gener- ated by rotating the graph oF y = 4 x be- tween x = 0 and x = 2 about the x -axis. 1.

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Assignment 7 -solutions - nanni(arn437 Assignment 7...

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