Questions from General Calculus

Q: For the function f whose graph is given, state the value

For the function f whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

Q: For the function h whose graph is given, state the value

For the function h whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

Q: If a rock is thrown upward on the planet Mars with a

If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t seconds later is given by y = 10t - 1.86t2. a. Find the average velocity over the given time intervals:...

Q: For the function g whose graph is given, state the value

For the function g whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

Q: For the function f whose graph is shown, state the following

For the function f whose graph is shown, state the following. f. The equations of the vertical asymptotes.

Q: Explain in your own words what is meant by the equation

Explain in your own words what is meant by the equation Is it possible for this statement to be true and yet f(2) = 3? Explain.

Q: Explain what it means to say that /

Explain what it means to say that In this situation is it possible that limx → 1 f(x) exists? Explain.

Q: Evaluate / 6 – x – 2/ 3

Evaluate / 6 – x – 2/ 3 – x – 1.

Q: Is there a number a such that /

Is there a number a such that exists? If so, find the value of a and the value of the limit.

Q: The figure shows a fixed circle C1 with equation (x –

The figure shows a fixed circle C1 with equation (x – 1)2 + y2 − 1 and a shrinking circle C2 with radius r and center the origin. P is the point (0, r), Q is the up...