E is the solid in R3 bounded by the cone surface z = square root (x2+ y2 ) and the plane z = 3, and S is the boundary surface of E, oriented outward. Note that S includes both part of the cone surface and the flat top. Evaluate double integral S (<2x + sin(y2 + y) + z9, x2 + y + z, y2 + z2 >) · dS

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A: Evaluation of the triple integrals

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A: To  find the volume of the solid under the plane and between the region

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Q: Consider the solid generated in the first octant by the following surfaces S3 =x=D1 S, = y={x-3}•1…

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Q: 3) Evaluate the surface integral. I| (x²z+ y²z) ds where S is the part of the plane z = 4 + x +y…

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Q: Consider the solid region E inside the sphere x² + y² + z² = 4 and outside the cylinder x² + y² = 1.…

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A: Here's the solution... please have a look at it.. Answer: option C

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Q: SSS, xz dV, where D is the solid region in the first octant bounded above by the sphere x + y? + z?…

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Q: 1. Find the volume of the solid in the first octant bounded above by the sphere a? + y? + (z – 5)² =…

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Q: Which of the following integrals gives the vol- ume of the solid bounded above by the sphere 12 + y?…

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A: As per our guidelines I answered only 1st question please the remaining question post seperately.

Q: Find the volume of the given solid. Under the plane 7x + 2y - z = 0 and above the region enclosed by…

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Q: SSS, xz dV, where D is the solid region in the first octant bounded above by the sphere x + y2 + z?…

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Q: a) Evaluate ||| x²yz dV, where G is solid in the first octant that is bounded by parabolic cylinder…

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Q: 2. Evaluate the triple integral / || y dV; G is the solid enclosed by the plane z = y, the xy-plane,…

A: Solution is given below;