Find the volume of the solid that lies under the plane r + 2y – z = 0 and above the region bounded by y = x and y = x.

Q: Find the volume of the solid that lies under the paraboloid z = x² + 3y² and above the region D =…

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Q: find the volume of the given solid under the plane 3x+2y-z=0 and above the region bounded by y=x and…

A: Consider the given plane equation 3x+2y-z=0. Express the given plane equation as follows.…

Q: Find the volume of the region bounded above by the sphere x2 + y2 + z2 = 2 and below by the…

A: At the outset, let me tell you that the question has a typo error or you have not pasted the…

Q: Find the volume of the solid obtained by rotating the region xy = 1, y = 0, x = 1, x = 2 about the…

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Q: Find the volume under the parabolic cylinder z = x^2 above the region enclosed by the parabola y=…

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Q: Find the volume under the parabolic cylinder z=x² above the region enclosed by the parabola y= 6-x²…

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Q: Find the volume of the given solid. Under the plane 7x + 2y – z = 0 and above the region enclosed by…

A: To  find the volume of the solid under the plane and between the region

Q: Find the volume of the solid under the surface z = 2 + x^2y^2 and above the region enclosed by y =…

A: Here we have to find the volume of the solid under the surface z=2+x2y2 and above the region…

Q: Find the volume of the solid generated when the plane region bounded by: x=y^2 and x+y=2 is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the volume of the given solid. Under the plane 7x + 2y − z = 0 and above the region enclosed…

A: Given the plane 7x+2y-z=0 and the regio enclosed by the parabolas y=x2 and x=y2

Q: Find the volume of the region bounded by the paraboloid z = x² + y² and the plane x + y = 1 in the…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x³ and y = x around the…

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Q: Find the volume of the given solid. Under the plane 9x + 2y – z = 0 and above the region enclosed by…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x + 1, y = 0), and X=2…

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Q: Find the volume of the solid formed by rotating the region R about the y-axis, where R is bounded by…

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Q: Find the volume of solid bonded above by the plane f(x,y) = x + 3y and below by the rectangle R =…

A: Given plane, fx,y=x+3y Rectangle R=0,3×0,2

Q: Find the volume of the solid in R bounded by y = x2, æ = y², z = x + y + 33, and z = 0.

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Q: Find the volume of the given solid. Bounded by the coordinate planes and the plane  8x + 3y + z = 24

A: The given plane is

Q: Find the volume of the solid obtained by rotating the region bounded by y = x' and y = x around the…

A: The formula used to calculate the volume of a solid obtained by revolving a region around any axis…

Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y…

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Q: Find the volume of the solid bounded by z= - y, the xy-plane, and r=4 cos 0.

A: The answer is 8.33

Q: Find the volume of the solid that lies under the paraboloid z = x + 3y and above the region x = y…

A: To find - Find the volume of the solid that lies under the paraboloid z = x2 + 3y2 and above the…

Q: Find the volume of the solid obtained by rotating the region bounded by I = 4y², y = 1, z = 0, about…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = -1+ In r, y = 2, y = 4,…

A: Given function is : y=-1+lnx , y=2, y=4 To find the volume of solid obtained by rotating the region…

Q: Find the volume of the solid in R° bounded by y = x², x = y², z = x + y + 18, and z = 0. V =

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Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

A: Solution: y = x y = x4

Q: Find the volume of the solid bounded by z=xy, x+y=a, z=0.

A: Given: The solid lies above the triangle R in the xy-plane under the surface z=xy.

Q: Find the volume of the solid obtained by rotating the region bounded by y = Inr, y=1, y= 4 and r = 0…

A: shaded portion is the region of interest that is rotated around y-axis to make a solid. y=ln(x)…

Q: Consider the region bounded by y = x and y = V¤, shown below. Find the volume of the solid obtained…

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Q: Find the volume of the solid that lies under the paraboloid z=x5+y5 and above the region y=x2 and…

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Q: Calculate the volume of the solid formed by rotating the region bounded by xy = 2 , xy = 4 , x = 1 ,…

A: Given regions are xy=2, xy=4, x=1 and x=2.

Q: Find the volume of the region bounded by the plane z = -x - 2y + 2, and the planes x = 0, y = 0, and…

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Q: Find the volume of the solid bounded by paraboloid z =z+y and z *2-²+y and z = 4

A: To find the volume of the solid bounded by the below paraboloid and plane.

Q: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=z, x=0, z=0 in the…

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Q: Find the volume of the region bounded below by the plane z = 0, laterally by the cylinder x2 + y2 =…

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Q: find the volume of the solid obtained by rotating the region bounded by xy=1, y=0, x=1, x= 2 about…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1: y=0, and x=2 3πt c.u.…

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Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

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Q: Find the volume of the solid bounded by z = -y, r=3cos(e) and the xy-plane. 0 8 3/8 3/7 56 14

A: Given, z=-y and r=3cosθ Volume V=∫∫Dz…

Q: Find the volume of the solid bounded from above by the paraboloid z = 6 – a2 – y?, inside the…

A: In general volume, integrals are triple integral, which involves the integral with respect to x,y,…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves = Vx, y = -x +2…

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Q: Find the volume of the region that lies above the cone z = √x² + y² and between the spheres x² + y²…

A: Volume is the amount of space occupied by the closed surface. In this problem, the region is bounded…

Q: y =, x = 1, x = 4, and y = 0 is revolved about the y - axis.

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Q: Find the volume of the solid that lies under the paraboloid z = x² + y? and above the region D in…

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Q: Question included in image

A: Given,The equation of the paraboloid z = x2 + y2Lines are y = x, x = 0 and x + y = 4And x-y plane

Q: Find the volume of the given solid. Under the plane x - 2y + z = 3 and above the region bounded by x…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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Q: Find the volume of the given solid. Under the plane 3x + 2y – z = 0 and above the region enclosed by…

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Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1…

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the…