Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinders y = 1 − x2, y = x2 − 1 and the planes x + y + z = 2, 5x + 5y − z + 20 = 0.

Q: Find the volume of the solid that is bounded on the front and back by the planes x= 1 an =2, on the…

A: Given, The solid that is bounded on the front and back by the planes x=1 and x=2,on the sides by the…

Q: Find the volume of the solid that lies under the elliptic paraboloid x2/9 + y2/16 + z = 1 and above…

A: Volume in xy-plane

Q: Find the volume of the solid that lies under the plane 4x + 8y − 2z + 13 = 0 and above the rectangle…

A: Find the volume of the solid that lies under the plane 4x + 8y − 2z + 13 = 0 and above the rectangle…

Q: Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. R=…

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Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Solution: In the plane z =0 the two cylinders intersect x=±1, y=0y=1-x2 meets the y-axis at…

Q: Find the surface area of ​​the solid intersection of the cylinders x² + z² = 1 and y² + z² = 1

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Q: Find the surface area of the solid of intersection of the cylinders  x2 + z2 = 9  and  y2 + z2 = 9

A: To find the surface area of the solid

Q: Find the volume of the solid enclosed by the paraboloids z=9(x2+y2) and z=2−9(x2+y2)

A: By using polar coordinates we will find the volume

Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1,…

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Q: Find the volume of the solid cut from the square column |x|+ |y|<=1 by the planes z = 0 and 3x +…

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Q: Determine the volume of the solid that is below the 3x+2y+z=12 plane and above the retangulo R={(x,…

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Q: Find the volume of the solid that lies under the plane 2x−4y+5z=18 and above the rectangle R={(x,y)…

A: Given, Plane is 2x-4y+5z =18 And 1≤x≤3  2≤y≤4

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Given: y=1-x2 and y=x2-1

Q: Find the volume of the solid bounded by the paraboloid z = 8- 2x - 2y and the plane z = 0

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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: Determine the volume of the solid lying under the elliptic paraboloid z = 6y² – 2x² + 3 and above…

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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 that lies under the elliptic paraboloid x2/9 + y/16 + z = 1 and above…

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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 solid that lies within the sphere x² + y + z² = 81, above the xy plane, and…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Find the volume of the solid enclosed by the paraboloids z = 16 (x² + y²) and z = 8 − 16 (x² + y²).

A: We have to find the volume of the solid enclosed by the paraboloids z=16(x2 +y2) and z=8−16(x2 +y2).…

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Given equations are, y=1−x2y=x2−1 Equation of planes are, x+y+z=24x+2y−z+14=0

Q: Find the volume of the solid that lies under the plane 4x + 10y – 2z + 19 = 0 and above the…

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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 by subtracting two volumes, the solid enclosed by the parabolic…

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Q: Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. R…

A: The plane equation can be rewritten as,

Q: Find the volume of the solid that lies under the plane 4x+6y-2z+15=0 and above the rectangle…

A: Consider the given plane

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

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Q: find the volume,The region cut from the solid elliptical cylinder x2 + 4y2<=4 by the xy-plane and…

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Q: Find the volume of the solid enclosed by the paraboloid z = 3 + x² + (y – 2)2 and the planes z = 1,…

A: Given z=3+x2+(y-2)2 and the planes z=1, x=-2,x=2,y=0 and y=2.

Q: Find the volume of the solid enclosed by the parabolic cylinders y = 1 – x², y= x² – 1, and the…

A: We need to find volume.

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: Calculate the volume of the solid that is inside the cylinder x2 − 2ax + y2 = 0 and below the plane…

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Q: Find the volume of the solid bounded by surfaces z = /9-x2 - y2 , and z = /25 - x2 - y? and the…

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Q: Use cylindrical coordinates to find the volume of the solid. Solid inside both x2 + y2 + z² = 64 and…

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Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic…

A: Here the objective is to find the volume of solid enclosed by the parabolic cylinders

Q: Find the volume of the wedge cut from the first octant by the cylinder x2 + y2 = 1 and the plane 2x…

A: To find the limits of x, y and z from the region of integration, substitute 0 for y.…

Q: Find the volume of the given solid. Bounded by the cylinders z = 3x2, y = x2 and the planes z = 0, y…

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Q: Find the volume of the solid enclosed by the paraboloid z = 3x 2 + 5y2 and the planes x = 0, y = 3,…

A: The solid is enclosed by the paraboloid z=3x2+5y2 and the planes x=0, y=3, y=x, z=0. So,…

Q: Find the volume of the solid that lies under the plane 4x + 6y – 2z + 19 = 0 and above the rectangle…

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Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x + (y - 2)2 and the planes z = 1, x…

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Q: Find the volume of the largest box, with one corner at the origin and the opposite corner at a point…

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Q: Find the volume of the solid that lies under the plane 4x + 10y - 2z + 15 = 0 and above the…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 5 + 4a² + 3y?, the planes a and…

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Q: Find the volume of the portion of the solid cylinder x2 + y2<= 1 that lies between the planes z =…

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Q: Use cylindrical coordinates to find the volume of the solid. Solid inside both x² + y² + z² = 16 and…

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Q: Find the volume of the solid bounded by the xy-plane and the surfaces x2+y²=196 and z=x2+y².

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

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