Evaluate, |.(y+2x)dV where E is bounded by the parabolic cylinder y = x and the planes y = x- 2, z = y and E z = 0. [Include a diagram for the region R, No decimal answer] -3 -1 2 5x

Q: Q3

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Q: and above the region D in the ry-plane given by D = {(x, y) E R² | 0 < y < 1, y < z< Vy}.

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Q: (b) |(x+y)dA} where R is the region bounded by y=Jx and y = x² .

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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: If R is the region enclosed by x- axis, y = -3x and x = -2, then evaluate the following double…

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A: In spherical coordinates,                                             So,

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Q: Find the area of region enclosed by x = t – tª, y = t – t2, 0 <t < 1using Green's - Theorem.

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Q: Let R be the three-dimensional region that lies below z= xy and above the triangle in the ry palne…

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Q: 1) Calculate a)be the volume of the solid below the paraboloid 2+x²+(y-2)² and above the rectangle…

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Q: Compute the integral SSI (2x + y) dV, where R is the tetrahedral region bounded by the planes x= 0,…

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Q: Let D = {(z, ) | 2<r < 3, -Ses 0). Sketch the region D, and evaluate the double integral n -4y dA.

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A: We will find out the required volume of the solid in the first octant.

Q: 5) Find the volume under the paraboloid z = x² + y above the triangle enclosed by the lines y = x, x…

A: We have to find the volume of the solid.     According to our guidelines we can solve only one…