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HW10 Solution - badruddin(ssb776 HW10 Radin(57410 This...

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badruddin (ssb776) – HW10 – Radin – (57410) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Evaluate the integral I = integraldisplay 1 0 integraldisplay 2 1 (4 x - 2 x 2 y ) dydx . 1. I = 3 2 2. I = 2 3. I = 1 4. I = 1 2 5. I = 0 002 10.0 points Evaluate the iterated integral I = integraldisplay 3 1 braceleftBig integraldisplay 3 1 parenleftBig x y + y x parenrightBig dy bracerightBig dx . 1. I = 3 ln 8 2. I = 3 ln 4 3. I = 4 ln 3 4. I = 8 ln 3 5. I = 4 ln 8 6. I = 8 ln 4 003 10.0 points Determine the value of the double integral I = integraldisplay integraldisplay A 3 xy 2 4 + x 2 dA over the rectangle A = braceleftBig ( x, y ) : 0 x 3 , - 1 y 1 bracerightBig , integrating first with respect to y . 1. I = ln parenleftBig 13 8 parenrightBig 2. I = ln parenleftBig 4 13 parenrightBig 3. I = ln parenleftBig 13 4 parenrightBig 4. I = 1 2 ln parenleftBig 13 4 parenrightBig 5. I = 1 2 ln parenleftBig 4 13 parenrightBig 6. I = 1 2 ln parenleftBig 13 8 parenrightBig 004 10.0 points Calculate the value of the double integral I = integraldisplay integraldisplay A 4 x cos( x + y ) dxdy when A is the rectangle braceleftBig ( x, y ) : 0 x π 4 , 0 y π 4 bracerightBig .
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