Questions from General Calculus

Q: Find the value of k that makes the antidifferentiation formula true.

Find the value of k that makes the antidifferentiation formula true. ∫3et/10 dt = ket/10 + C

Q: Determine the average value of f (x) over the interval

Determine the average value of f (x) over the interval from x = a to x = b, where f (x) = 100e-0.5x; a = 0, b = 4.

Q: Give an interpretation of the area under a rate of change function

Give an interpretation of the area under a rate of change function. Give a concrete example.

Q: What is a definite integral?

What is a definite integral?

Q: What is the difference between a definite integral and an indefinite integral

What is the difference between a definite integral and an indefinite integral?

Q: State the fundamental theorem of calculus.

State the fundamental theorem of calculus.

Q: How is F (x) |ba calculated, and what

How is F (x) |ba calculated, and what is it called?

Q: Outline a procedure for finding the area of a region bounded by

Outline a procedure for finding the area of a region bounded by two curves.

Q: State the formula for each of the following quantities: (

State the formula for each of the following quantities: (a) average value of a function (b) consumers’ surplus (c) future value of an income stream (d) volume of a solid of revolution

Q: What does it mean to anti-differentiate a function?

What does it mean to anti-differentiate a function?