Questions from General Calculus

Q: Find the area of the surface. The part of the

Find the area of the surface. The part of the surface 2y + 4z - x2 = 5 that lies above the triangle with vertices (0, 0), (2, 0), and (2, 4)

Q: (a). We define the improper integral (over the entire

(a). We define the improper integral (over the entire plane R2) where Da is the disk with radius a and center the origin. Show that (b). An equivalent definition of the improper integral in part (a...

Q: Use the result of Exercise 40 part (c) to evaluate

Use the result of Exercise 40 part (c) to evaluate the following integrals. Exercise 40 part (c): Deduce that (a). ∫_0^∞ x^2 e^(-x^2 ) dx (b). âˆ&la...

Q: Use a computer algebra system to find the exact volume of the

Use a computer algebra system to find the exact volume of the solid. Between the paraboloids z = 2x2 + y2 and z = 8 - x2 - 2y2 and inside the cylinder x2 + y2 = 1

Q: Use a computer algebra system to find the exact volume of the

Use a computer algebra system to find the exact volume of the solid. Enclosed by z = 1 - x2 - y2 and z = 0

Q: Calculate the iterated integral ∫(-3)^3 ∫_0^(

Calculate the iterated integral ∫(-3)^3 ∫_0^(π/2) (y+y^2 cos x ) dx dy

Q: Sketch the region of integration and change the order of integration.

Sketch the region of integration and change the order of integration. ∫_0^1 ∫_0^y f (x,y) dx dy

Q: Sketch the region of integration and change the order of integration.

Sketch the region of integration and change the order of integration. ∫_0^2 ∫_(x^2)^4 f (x,y) dy dx

Q: Sketch the region of integration and change the order of integration.

Sketch the region of integration and change the order of integration. ∫_0^(π/2) ∫_0^cosxf (x,y) dy dx

Q: Sketch the region of integration and change the order of integration.

Sketch the region of integration and change the order of integration. ∫_(-2)^2 ∫_0^(√(4-y^2 ) f (x,y) dx dy