Find the volume in the first octant bounded by the cylinder x² +y = a² 2a and the lane z = x + v.

Q: Compute the volume of the solid bounded by the vertical cylinder x2+y2=1 and the horizontal cylinder…

A: Region of intersection of these two cylinders from a point near the z-axis, we see that the sides of…

Q: Find the volume of the solid in the first octant bounded by the cylinder z = 4 – y? and the plane x…

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Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 : = 35 and the upper cone z2 =…

A: The given problem is to find the volume of the ice cream that is bounded by given surfaces. Given…

Q: Find the volume of the solid generated by revolving the area bounded by x2 - 2kx - 2ky + k = 0 and…

A: Given curves are:  x2-2kx-2ky+k2=0 2x-2y+k=0 The area bounded by them is revolving about the line…

Q: Find the volume of the solid bounded by z = 4х - Зу, Зу %3D 4х, Зу %3D - 4х and x = 7. Leave your…

A: Given that z = 4x - 3y, 3y = 4x, 3y = - 4x and x = 7 We have to find volume.

Q: Find the volume of solid lying in the first octant bounded by the graphs of : z = 4 – x2 – y² , y =…

A: The volume of the solid in first quadrant is given by: V=∫ab∫cdf(z)dydx Now, find the range of the…

Q: Find the volume of the solid of revolution formed by rotating each bounded region about the…

A: The volume of Revolution about x -axis is given by  V = ∫x=ax =b π y2 dx  Given,  y = x32  x = 4 and…

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: What is the volume obtained by rotating the region bounded by x = (y - 3)½ and y = 2x2 + 1 around…

A: Here we use basic definition of volume .

Q: Calculate the volume of the wedge cut from the cylinder x2+y2=25 and from the z=3y and z=0 planes,…

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Q: Find the volume of the solid V in the first octant bounded by x+y+z=5 and x+y+7z=5.

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Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 4ky + k² = 0 and…

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Q: Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x = 3,…

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Q: Find the volume of the solid bounded by

A: Given,        z=-6+x2+y2,   and    z=6-2x2-2y2

Q: calculate the volume of the 1st octant under the plan 2x + y + z = 10

A: answer

Q: Find the volume of the solid generated when the region bounded by y = 4x and y = 16VX is revolved…

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Q: Find the volume of the first octant region bounded by the coordinate planes and the parabolic…

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Q: Calculate the volume of the solid bounded by the cone z2=x2+y2 and the cylinder x2+y2=4

A: Explained below

Q: Calculate the volume of the solid bounded by cone z2=x2+y2 and cylinder 4=x2+y2.

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Q: Find the volume of the region bounded above by the paraboloid z = 5 - x2 - y2 and below by the…

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Q: Find the volume in the first octant between z=9-x^2-y^2 and the cylinder x^2+y^2=1.

A: The given surfaces can be plotted as follows: Thus, the required solid will be R=x, y, z: 0≤x≤1,…

Q: Find the volume between the cylinders x+y =1 and the cylinder x* +z* = 1 in the first octant. 2

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Q: What is the volume in the first octant bounded by x2 = 16 – y and z + y = 16.

A: Given curves are

Q: Find the volume in the first octant bounded above by the paraboloid z = 9 – x² – y? and on the sides…

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Q: Find the volume in the first octant bounded by the cone z2 = x2 − y2 and the plane x = 4.

A: The given conic curve is, z2=x2-y2 Boundary limits are as follows, Limit of x: 0 to 4Limit of y: 0…

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

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Q: Find the volume of solid lying in the first octant bounded by the graphs of : z = 4-x2-y2, y= 2-2x2,…

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Q: Find the volume of a solid extending from y = 2 to y = 5 if every cross section has area A(y) = 5.

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Q: Find the volume generated by revolving the area bounded by xy=4, x=1, x=4 and the x-axis about the…

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Q: What is the volume in the first octant bounded by x2 = 16 − y and z + y= 16

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Q: Compute the volume bounded by y=x²-2x and 3y +2x²-27=0 when it is revolved around the y-axis

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Q: Find the volume bounded by the cylinder x² + y² = 9 and the planes y + z = 4, z = 0, using double…

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Q: find the volume ,The region between the planes x + y + 2z = 2 and 2x + 2y + z = 4 in the first…

A: Given planes are

Q: Find the volume generated by revolving the region bounded by y= 3Sqrt(x-1)and y=x-1 about y=-1

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Q: Compute the volume of the solid generated by revolving the region bounded by y = x and y = x2 about…

A: We need to compute the volume of the solid generated by revolving the region bounded by y = x and y…

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z…

A: Given that the region in the first octant bounded by the coordinate planes, the plane y+z=2 and the…

Q: Find the volume of the solid bounded by the graphs of the equations: z = 3x + 3y?, x - y+1 = 0, 3x +…

A: This question is about application of intergal calculas

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 4ky+k² = 0 and…

A: To compute the volume of the solid region enclosed by the curves y=fx and y=gx, where a≤x≤b and…

Q: . Find the volume bounded by z = 9 –x² – y² and z = 0. Give a numerical %3D answer.

A: Given that the region is bounded by z=9-x2-y2 and z=0. We know that the volume bounded between…

Q: 1) z = 2 – x² – 2y², z = 1

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Q: Find the volume of the first octant below the cylinder z=y2 and bounded by the planes x=2 and y=3.

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Q: find the volume of the region in the first octane bounded by the coordinant planes, the plane y + z…

A: See the details solution in below

Q: first

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -2 about the…

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Q: Find the exact volume generated by revolving the region bounded by f(x) = 2x^2 + 10 and g(x) = 4x +…

A: The volume generated by revolving the region by line y= 10 The given functions are fx=2x2+10 and…

Q: Find the volume formed by revolving the region about the line x = 4. 1 2 3 y = 3 – x & y = -x² + 2x…

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