4. Find the volume of the solid enclosed by the surfaces z = 4-x² - y², z = x² + 2y² -2, x= -1, x = 1, y = -1 and y = 1.

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 the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.

Q: Find the surface area of the region formed by the portion af the plane y+z= 10 inside the cylinder +…

A:

Q: Find the volume of the wedge cut from the first octant by the cylinder z = 45-5y² and the plane x +y…

A:

Q: Find The volume of the Pasaboloid Solid by 2 - 4+2x² + 2y² and 7-3x²-3y² the

A: To Find: Volume of the solid region bounded by the paraboloids z=-4+2x2+2y2 , and z=7-3x2-3y2.

Q: Find the volume V of the region appearing between the two sur

A: Given, the two surface                  z=x2+y2  and z=200-x2-y2

Q: What is the area of the enclosed surface bounded by the x-axis, x = 2 and y=x2 ?

A: The area under the curve can be calculated by the integration. The formula for the integration is…

Q: Find the area of the cap cut from the paraboloid y^2+z^2=2x by the plane x=2

A: To Find: Area of the cap cut from the paraboloid y2+z2=2x by the plane x=2.

Q: 2. Evaluate fff 2xdV, where G is the solid enclosed by the planes x + y + z = 1 and z = 0 and the…

A: Use the tripple integration format:

Q: Find the surface area of the portion of the cylinder x² + z² =4 above the rectangle R = {(x,y) |…

A:

Q: Find the volume of the solid bound by the surface z=(2x-y)^2+(x-y-1)^2 and the plane z=4. Question:…

A: Given that a solid is bounded by the surface and plane.

Q: Find the volume of the solid that lies under the paraboloid z = x 2 + y 2 above the -plane, and…

A: We need to find the volume of the solid that lies under the paraboloid z=x2+y2  above the xy-plane,…

Q: Compute the volume of the column with a square base R= {(x,y): |x|< 3, |y| <3} cut by the plane z =…

A: We have to find volume whose base is square-

Q: Calculate the volume under the elliptic paraboloid z = 4x² + 6y2 and over the rectangle R = [-2, 2]…

A:

Q: Which is the equation of a sphere with a center at (1,0,-2) with a volume of 36(pi)(u^3)? a.…

A: We first defined the equation of sphere and centre,volume . Using this formula we have equation (a)…

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

A: Given: A paraboloid: z=4+4x2+3y2. We have to find the volume of the solid bounded by the given…

Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

A: Suppose a region is enclosed by two curves y=fx and y=gx. To calculate the volume of the region…

Q: Compute for the volume of the solid formed bounded by the equations (y- 4)2 = x - 3, x-10, y-4, and…

A:

Q: Find the volume of the solid bounded below by the circular paraboloid z = x² + y² and above by the…

A: We want to evaluate volume of solid below by the paraboloid z = x2 +  y2  and above the…

Q: Find the exact volume of the solid formed in the first octant bounded above by the cone z = 2-√√x² +…

A: We have to find the exact volume of the solid formed in the first octant bounded above by the cone…

Q: 9. Find the volume of the solid in the first octant enclosed by the surface z = x? and the four…

A: Volume = ∫02∫03∫0x2dx dy dz                 =∫02dx∫03dy ∫0x2dz…

Q: Please find the volume that lies between the rectangle [-5,0] x [2,5] (in the xy-plane) and the…

A:

Q: Find the volume V of the region appearing between the two surfaces z = x² + y² and z = 8 - x² - y².…

A: