HW_14_Key - Version 085 – Homework14 – Gilbert...

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Unformatted text preview: Version 085 – 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 6 integraldisplay 1 integraldisplay 1 − z 2 6 ze 2 y dxdzdy . 1. I = 3 7 e 6 2. I = 3 7 ( e 6 − 1 3. I = 3 4 ( e 12 − 1) correct 4. I = 3 4 ( e 6 − 1) 5. I = 3 7 ( e 12 − 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 ≤ 2 x, x ≤ z ≤ 4 x . 1. I = 9 π 2. I = 7 π 3. I = 8 π 4. I = 5 π 5. I = 6 π correct Explanation: keywords: 003 10.0 points Evaluate the triple integral I = integraldisplay integraldisplay integraldisplay E (3 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 = 13 120 correct 2. I = 5 24 3. I = 17 120 4. I = 7 40 5. I = 29 120 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 = 8 15 2. V = 2 5 Version 085 – Homework14 – Gilbert – (59825) 2 3. V = 4 15 correct 4. V = 1 3 5. V = 7 15 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 d ( x,y ) c ( x,y...
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HW_14_Key - Version 085 – Homework14 – Gilbert...

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