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Use Cylindrical Coordinates to Evaluate the Triple Integral EydV\iiint _ { E } y d V

Question 100

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Use cylindrical coordinates to evaluate the triple integral
EydV\iiint _ { E } y d V
where EE is the solid that lies between the cylinders x2+y2=3x ^ { 2 } + y ^ { 2 } = 3 and x2+y2=7x ^ { 2 } + y ^ { 2 } = 7 above the xyx y -plane and below the plane z=x+4z = x + 4 .

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