Questions from General Calculus

Q: Sketch the graph of a function that satisfies all of the given

Sketch the graph of a function that satisfies all of the given conditions.

Q: Sketch the graph of a function that satisfies all of the given

Sketch the graph of a function that satisfies all of the given conditions.

Q: Sketch the graph of a function that satisfies all of the given

Sketch the graph of a function that satisfies all of the given conditions.

Q: For what values of a and b is the line 2x +

For what values of a and b is the line 2x + y = b tangent to the parabola y = ax2 when x = 2?

Q: If f'(x) = e-x2, what can

If f'(x) = e-x2, what can you say about f?

Q: Let f (x) = x4 – 2x2. (

Let f (x) = x4 – 2x2. (a). Use the definition of a derivative to find f'(x) and f"(x). (b). On what intervals is f increasing or decreasing? (c). On what intervals is f concave upward or concave downw...

Q: The graph of a function f is shown. Which graph is

The graph of a function f is shown. Which graph is an antiderivative of f and why?

Q: The graph of the velocity function of a particle is shown in

The graph of the velocity function of a particle is shown in the figure. Sketch the graph of a position function.

Q: Draw a graph of f and use it to make a rough

Draw a graph of f and use it to make a rough sketch of the antiderivative that passes through the origin.

Q: Draw a graph of f and use it to make a rough

Draw a graph of f and use it to make a rough sketch of the antiderivative that passes through the origin.