Write a triple iterated integral in cylindrical coordinates (dzdrdtheta) and solve

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: The volume of the solid region bounded above by the cone Z = √3(x² + y²) and bounded below by the…

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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: evaluate the triple iterated integral.

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Q: 1 Let f(x, y, z) =xy• Consider the integral, f(x, y, z) dz dy dx

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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: Find the volume of a sphere. Use cylindrical coordinates. Find the volume of a circular cone.

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Q: evaluate the triple iterated integral.

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Q: Demonstrate that for the function of the type va? + x2 you use the substitution X-atane and use it…

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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: T - 2 T = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ √₁-x²₁ √ x² + x² <= 5 √/2-(x² + y²)). 1 [2+²+2) dxdvd, T =…

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Q: Evaluate the integral R (x + y) dA where R = {(x, y) |2 < x² + y² < 5, y < 0}.

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Q: r2 √4-x² To √√₁-(x-1)² x √√√x² + y² dydx

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Q: the pg 2セ= Sox +3y+2= = 6 The region in the first octant bounded by the coordinate plane ytz=2, and…

A: We will find range for x,y and z and then triple integral

Q: Find volume by evaluating vating triple integralspherical cordinates) use dp dodo Sin o

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Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: √5 25-32 ez²+² dx dy

A: Answer

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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