Find the volume of the solid bounded above by the cone z² = x² + y² and inside the ball x² + y² + z² = 2 bz where b is a constant.

Q: Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) +…

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Q: Find the volume of the solid enclosed by xy-plane, yz -plane, x=y and z = 4-y².

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Q: What is the volume of the solid enclosed by the planes z = 3 and x + y − z = −13, and the curves y…

A: Given,  The solid enclosed by the planes z = 3 and x + y − z = −13, and the curves y = x2 and x = y2

Q: Calculate the volume of one of the wedge-like objects formed by cutting the cylinder x²+9y²=a² with…

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Q: Find the volume of material cut from the solid sphere r2 + z2 <=9 by the cylinder r = 3 sin u.

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Q: Find the volume of the solid bounded by the paraboloids 2 z = −9+3x² + 3y² and z = 6 - x² - y².…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 16 that lies above the cone z = √√x²…

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Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: Find the volume of the solid that lies under the double cone z2 = 4x2 + 4y2, inside the cylinder x2…

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Q: calculate the volume of the solid bounded by the paraboloid z=x2+y2 and the elliptical paraboloid…

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Q: Find the volume of the solid bounded by the ellipic paraboloid z = 3 + 4x2 + 2y², the planes x = 2…

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Q: Find the volume of the solid bounded by the paraboloids z = −5+ 3x² + 3y² and z = 3 -3x² - 3y².…

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Q: Find the uolume of the region abave the メy- plane inside the cone xZ+y2 glirder and inside the…

A: Convert the parametric form.

Q: Find the area of the portion of the cylindrical surface y = 4 – x2 in the first octant that is…

A: Given : cylindrical surface y=4-x2 in the first octant is between the xy-plane and the surface…

Q: Calculate the volume of a solid that is under the paraboloid z = x2 + y2, above the xy plane and…

A: Given To calculate the volume of the solid that is under the paraboloid  z = x2 + y2, above the xy…

Q: Find the volume of the solid bounded above by the sphere x² + y² + z² 9 and below by the cone z =…

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Q: Find the volume of the region bounded by the sphere x+y+z² =9 and the planes x=0, y=0 and z = 0.

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Q: Find the volume of the solid bounded by the ellipic 4 + 5x² + 3y², the planes x paraboloid z = = 2…

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Q: Find volume of the solid enclosed by: z=8-x²-1² and z=x² + y² ZA 8

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