Find volume of the solid that is enclosed by paraboloid z = 2+ x? + y² and the planes = 0, y = 0, z = 1 and 2x + 3y = 3 by using triple integrals.

Q: Find the volume of the solid bounded by the paraboloids z = −4+2x² + 2y² and z = 3 - 2x² - 2y²

A:

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

A:

Q: Find the surface area of the part of the sphere x² + y² + z² = 81 that lies above the cone z =…

A:

Q: Determine the solid bounded by the surfaces 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octant.

A: Given surface is 9x2+4y2=30 and plane is  9x+4y-6z=0 Bounded region in first octane ⇒x≥0, y≥0, z≥0…

Q: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

A:

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 volume of the largest box of the type shown in the figure, with one corner at the origin…

A:

Q: Compute the surface area of the ellipse that lies on the plane z=11-3x+2y and inside the cylinder…

A:

Q: Find the area of the part of the hyperbolic araboloid z = y² – x² nat lies between the cylinders x²…

A:

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

A:

Q: Sketch the cylinder given by x = 4- Z*2（z square）in three-dimensional space.

A: Given: The equation is x=4-z2. To sketch: The given equation in three-dimensional space.

Q: Find the area of the vertical wall whose base is the semicircle {(x, y) | x² + y² = 1 and y>0} and…

A:

Q: Find the surface area of that part of the plane 8x + 6y + z = 5 that lies inside the elliptic…

A: Given that the equation of a plane                                         8x+6y+z=5. To find the…

Q: Q6/ Find the volume of the parallclogram-sided determined by: u- -3i +7j +5k, v -3i + 7j-3k, and w-…

A:

Q: Find the centroid

A:

Q: Find the surface area of the part of the sphere x² + y² + z² = 4 that lies above the cone z = x² +…

A:

Q: Use polar coordinates to find the volume of the solid that lies below the paraboloid f(x,y) = 36-…

A:

Q: Find the volume of the solid bounded by the paraboloids 9 + x + y and z = 3 2x? – 2y - - Round your…

A:

Q: termine the solid bounded by the surfaces 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octan

A: The given solid is bounded by the surface 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octant.

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 surface area of that part of the plane 2x + 3y + z = 3 that lies inside the elliptic…

A: Given: The plane is: 2x+3y+z=3. The elliptic cylinder is: x225+y29=1. To Find: The surface area of…

Q: How many cells are there in the arrangement of hyperplanes in R^d with equations xi + xj = 0 and x…

A:

Q: Find the surface area of the portion of the cone x² + y² = z² above the region inside the…

A: