Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 6x² and the planes z = = 0, z = 6 and y = 8.

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x³, x =…

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 solid cut from the cylinder x² + y? = 49 by the planes z = 0 and x + z = 1.

A: Image is attached with detailed solution.

Q: Find the volume of the solid bounded by the graphs of the sphere x² + y² +z? =16 and the cylinder…

A: Given solid is bounded by sphere x2+y2+z2=16 and cylinder x+y-22=4 Volume using cylindrical…

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: We have to find the volume of the largest rectangular box in the first octant with three faces in…

Q: a) Find the intersection point between curves 2=-2 and y=-/2x+2. Hence, find the area of the…

A:

Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

A: We want to find the area bounded by the parabola y2 = 9x and the line y = 3x about the y-axis.

Q: Find the surface area of the portion of 4x + 3y + 5z = 8 that lies inside the cylinder x² + y² = 49.

A:

Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y =…

A:

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