Use symmetry to evaluate the double integral. (4 + x*y) dA, R = [0, 3] × [-3, 3] (Give your answer as a whole or exact number.) (4 + x*y³) dA = R

Q: Evaluate the following triple integral over half unit ball below y-plane(B), //| Væ² + y? + 2² dV. B

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Q: xyzdV where E is the solid: 0 < z < 8 ,0< y< z ,0<x < y.

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Q: 5z dv, where E is bounded by the cylinder y2 + z2 = 9 and the planes x = 0, y = 3x, and z = 0 in the…

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Q: 2. メ+ 2x

A: I have given an answer in step 2.

Q: 1. 5x²+4x2-5 dx

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Q: Find - 6x+1 x² +1 -dx.

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Q: 2x2 dv, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0,…

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Q: SSS (x+ yz?) dx dy dz v. 06x< !, 0£ys2

A: Given that ∫∫v∫x+yz2dxdydz, where v:0≤x≤1, 0≤y≤2, -1≤z≤3 Here, we will evaluate the given integral

Q: 8. (x – y) dV, where E is enclosed by the surfaces z = x² – 1, z = 1 – x² , y = 0, and y = 2 E

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Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: dx XV. xVx2-4

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Q: Evaluate I = / a*. g³ Vx² – 3 dx

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Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: -dx x +1 2 5.

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Q: Evaluate 9 €₂ N d da (2-1) (2³8) ²

A: Using,  Cauchy integral theorem we can solve above integral.

Q: form y = mx + b that repres

A: From given graph it is clear that

Q: 2x dV, where E is bounded by the paraboloid x = 2y2 + 2z2 and the plane x = 2. %3D

A: The given integral is ∭E2xdV. The region E is bounded by the paraboloid x=2y2+2z2 and the plane x=2.…

Q: Evaluate х2 + 2х — 1 х3 — х

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Q: 17. 6xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded…

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Q: 3xy dV, where E is bounded by the parabolic cylinders y = x² and x = y and the planes z = 0 and z =…

A: It is given that, y=x2 and x=y2 and the planes z=0 and z=7x+y. Define the region E as follows.…

Q: Divide 2x-5x +x-7x +x+x²-1 by x-3.

A: Given:   To determine: Quotient and remainder

Q: -5х? —16х + 28 dx te x' -4x

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Q: (x - y) dv, where E is enclosed by the surfaces z = x² - 1, z = 1 - x², y = 0, and y = 4

A: Consider the given function fx,y,z=x-y.  The region E is enclosed by the surfaces…