HW14S - Version 101 – Homework14 – Gilbert –(59825 1 This print-out should have 10 questions Multiple-choice questions may continue on the

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Unformatted text preview: Version 101 – Homework14 – Gilbert – (59825) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 10.0 points Evaluate the triple integral I = integraldisplay 3 integraldisplay 1 integraldisplay 1 − z 2 6 ze 4 y dxdzdy . 1. I = 3 8 e 12 2. I = 3 11 ( e 4 − 1 3. I = 3 11 ( e 12 − 1) 4. I = 3 8 ( e 12 − 1) correct 5. I = 3 8 ( e 4 − 1) Explanation: 002 10.0 points Evaluate the triple integral I = integraldisplay integraldisplay integraldisplay E y sin( πx 4 ) dV where E is the set of all points ( x, y, z ) in 3-space such that ≤ x ≤ 1 , ≤ y ≤ 3 x, x ≤ z ≤ 4 x . 1. I = 23 2 π 2. I = 29 2 π 3. I = 21 2 π 4. I = 27 2 π correct 5. I = 25 2 π Explanation: keywords: 003 10.0 points Evaluate the triple integral I = integraldisplay integraldisplay integraldisplay E (5 x + y ) dV where E is the bounded region in 3-space enclosed by the parabolic cylinder y = x 2 and the planes x = z , x = y , z = 0 . 1. I = 31 120 2. I = 47 120 3. I = 13 40 4. I = 7 24 correct 5. I = 43 120 Explanation: keywords: 004 10.0 points Use a triple integral to find the volume of the solid bounded by the cylinder x = y 2 and the planes z = 0 , x + z = 1 . 1. V = 1 5 2. V = 1 3 Version 101 – Homework14 – Gilbert – (59825) 2 3. V = 2 15 4. V = 2 5 5. V = 4 15 correct Explanation: keywords: 005 10.0 points Express the integral I = integraldisplay integraldisplay integraldisplay E f ( x, y, z ) dV as an iterated integral of the form integraldisplay b a integraldisplay v ( x ) u ( x ) integraldisplay...
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This homework help was uploaded on 03/19/2008 for the course M 408M taught by Professor Gilbert during the Fall '07 term at University of Texas at Austin.

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HW14S - Version 101 – Homework14 – Gilbert –(59825 1 This print-out should have 10 questions Multiple-choice questions may continue on the

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