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Social ScienceEvaluate the triple integral. (x2 + y2) dx dy dz;W is the pyramid with top vertex at(0, 0, 2)and base vertices at(0, 0, 0),(2, 0, 0),(0, 2, 0),and(2, 2, 0)
Expert Answer
The given triple integral is,
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S(y?)dchvdz
Here, the horizontal cross-section of the pyramid at height z is a square with one corner at (0, 0, z) and side length 2 – z.
So,...
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22-2 L+)dxdyd=S S(+y)d«dydz 000 22- dydz + 3 (2 +(2-) dyd 3 0 0 -(2-2(2-2) 3 3 (2--)(2-) (2 2-3(2-2 2(2-2) 3 j(2-ade
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