Questions from General Calculus


Q: Verify that Stokes’ Theorem is true for the vector field F (

Verify that Stokes’ Theorem is true for the vector field F (x, y, z) = x2 i + y2 j + z2 k, where S is the part of the paraboloid z = 1 - x2 - y2 that lies above the xy-plane and S has upward orientati...

See Answer

Q: A force of 13 N is needed to keep a spring with

A force of 13 N is needed to keep a spring with a 2-kg mass stretched 0.25 m beyond its natural length. The damping constant of the spring is c = 8. (a). If the mass starts at the equilibrium position...

See Answer

Q: For the spring in Exercise 3, find the mass that would

For the spring in Exercise 3, find the mass that would produce critical damping. Exercise 3: A spring with a mass of 2 kg has damping constant 14, and a force of 6 N is required to keep the spring s...

See Answer

Q: For the spring in Exercise 4, find the damping constant that

For the spring in Exercise 4, find the damping constant that would produce critical damping. Exercise 4: A force of 13 N is needed to keep a spring with a 2-kg mass stretched 0.25 m beyond its natur...

See Answer

Q: Solve the differential equation. 3y'' = 4y'

Solve the differential equation. 3y'' = 4y'

See Answer

Q: Solve the differential equation or initial-value problem using the method

Solve the differential equation or initial-value problem using the method of undetermined coefficients.

See Answer

Q: Solve the differential equation. y'' - 4y' + 13y =

Solve the differential equation. y'' - 4y' + 13y = 0

See Answer

Q: What is the difference between a vector and a scalar?

What is the difference between a vector and a scalar?

See Answer

Q: (a). How do you find the area of the parallelogram

(a). How do you find the area of the parallelogram determined by a and b? (b). How do you find the volume of the parallelepiped determined by a, b, and c?

See Answer

Q: How do you find the angle between two intersecting planes?

How do you find the angle between two intersecting planes?

See Answer