Questions from General Calculus

Q: (a). Explain why the function whose graph is shown is

(a). Explain why the function whose graph is shown is a probability density function. (b). Use the graph to find the following probabilities: (c). Calculate the mean.

Q: A vertical plate is submerged (or partially submerged) in water

A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain how to approximate the hydrostatic force against one side of the plate by a Riemann sum. Then expre...

Q: (a). How would you evaluate fx5e-2x dx by

(a). How would you evaluate fx5e-2x dx by hand? (Don’t actually carry out the integration.) (b). How would you evaluate fx5e-2x dx using tables? (Don’t actually do it.) (c). Use a CAS to evaluate fx5e...

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Q: Evaluate the integral by making the given substitution. f e

Evaluate the integral by making the given substitution. f e-x dx, u = -x

Q: Evaluate the indefinite integral. f (3t + 2)

Evaluate the indefinite integral. f (3t + 2)2.4 dt

Q: Evaluate the indefinite integral. f sin πt dt

Evaluate the indefinite integral. f sin πt dt

Q: Evaluate the indefinite integral. f ex cos (ex)

Evaluate the indefinite integral. f ex cos (ex) dx

Q: Evaluate the indefinite integral. f (ln x)2

Evaluate the indefinite integral. f (ln x)2/x dx

Q: Evaluate the indefinite integral. f x/ (x2 +

Evaluate the indefinite integral. f x/ (x2 + 1)2 dx