Questions from General Calculus

Q: Find the volume of the given solid. Under the surface

Find the volume of the given solid. Under the surface z = xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)

Q: Find the volume of the given solid. Enclosed by the

Find the volume of the given solid. Enclosed by the paraboloid z = x2 + y2 + 1 and the planes x = 0, y = 0, z = 0, and x + y = 2

Q: Find the volume of the given solid. The tetrahedron enclosed

Find the volume of the given solid. The tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 4

Q: Find the volume of the given solid. Enclosed by the

Find the volume of the given solid. Enclosed by the cylinders z = x2, y = x2 and the planes z = 0, y = 4

Q: Evaluate the iterated integral. ∫_0^1 ∫_0

Evaluate the iterated integral. ∫_0^1 ∫_0^y (〖xe〗^(y^3 ) dx dy

Q: Find the volume of the given solid. Bounded by the

Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 4 and the planes x − 2y, x = 0, z = 0 in the first octant

Q: Use Lagrange multipliers to give an alternate solution to the indicated exercise

Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 14.7. Exercise 52 14.7 Exercise 52: The base of an aquarium with given volume V is made of slate and the s...

Q: Find the volume of the given solid. Bounded by the

Find the volume of the given solid. Bounded by the cylinder x2 + y2 = 1 and the planes y = z, x = 0, z = 0 in the first octant

Q: Find the volume of the given solid. Bounded by the

Find the volume of the given solid. Bounded by the cylinders x2 + y2 = r2 and y2 + z2 = r2

Q: Use a graphing calculator or computer to estimate the x-coordinates

Use a graphing calculator or computer to estimate the x-coordinates of the points of intersection of the curves y = x4 and y = 3x - x2. If D is the region bounded by these curves, estimate ∬D x dA.