Evaluate the triple iterated integral. π/2 9 6²¹² 6² 6² ° e-p³p² dp de do

Q: Convert the double integral to uv-plane where R is the rectangle enclosed by the lines z- y = 0, x –…

A: Here, We need to convert the given double integral to uv-plane.

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: 1-r-y C * (r* + y° +:')}dzdydx 14

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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: evaluate the triple iterated integral.

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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: 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: evaluate the triple iterated integral.

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Q: sinh?, sinh x + cosh x dx - cosh? 2

A: Evaluation of the integral

Q: evaluate the triple iterated integral.

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Q: Evaluate / (x* – 2y) dA where D = {(x, y) E R²| – 1 < x < 2 and – x² < y < x²}. -

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Q: 4x10 + 2x4 + 15x11 4 + (3x – 5)12 dx x12 x2 + 1

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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: 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: (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…