Questions from General Calculus

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If y = π2 , then dy/dx = 2π.

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f(x) = −g(x) + b, then f′(x) = −g′(x).

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If f(x) = 0, then f′(x) is undefined.

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Q: f(t) = 3t + 5, [1,

f(t) = 3t + 5, [1, 2] Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interv...

Q: Find the average rate of change of the function over the given

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval. f(t) = t 2 − 7, [...

Q: Find the average rate of change of the function over the given

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

Q: Find the average rate of change of the function over the given

Find the average rate of change of the function over the given interval. Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

Q: Use the position function s(t) = −16t 2

Use the position function s(t) = −16t 2 + v0 t + s0 for free-falling objects. A silver dollar is dropped from the top of a building that is 1362 feet tall. (a) Determine the position and velocity fu...

Q: Use the position function s(t) = −16t 2

Use the position function s(t) = −16t 2 + v0 t + s0 for free-falling objects A ball is thrown straight down from the top of a 220-foot building with an initial velocity of −22 feet per second. What i...