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M408D Quest Homework 12-problems

M408D Quest Homework 12-problems - hernandez(ah29758 M408D...

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hernandez (ah29758) – M408D Quest Homework 12 – pascaleff – (54550) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Evaluate the double integral I = integraldisplay integraldisplay A 2 dxdy with A = braceleftBig ( x, y ) : 2 x 7 , 6 y 8 bracerightBig by first identifying it as the volume of a solid. 1. I = 24 2. I = 22 3. I = 28 4. I = 20 5. I = 26 002 10.0points The graph of the function z = f ( x, y ) = 4 - x is the plane shown in z 4 x y Determine the value of the double integral I = integraldisplay integraldisplay A f ( x, y ) dxdy over the region A = braceleftBig ( x, y ) : 0 x 4 , 0 y 2 bracerightBig in the xy -plane by first identifying it as the volume of a solid below the graph of f . 1. I = 14 cu. units 2. I = 12 cu. units 3. I = 13 cu. units 4. I = 16 cu. units 5. I = 15 cu. units 003 10.0points Evaluate the double integral I = integraldisplay integraldisplay A 2 + x 2 1 + y 2 dxdy when A = braceleftBig ( x, y ) : 0 x 2 , 0 y 1 bracerightBig .
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