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1.

2. If f(x) = x^{3} + 3x^{2} + cx + 4 has a horizontal tangent and a point of inflection at the same value of x, what is the value of c?

3.

The graph of f is shown above. Which of the following from above could be the graph of f′?

4. What are all values of x such that converges?

5.

The graph of a function f is shown above. Which of the following statements is/are true?

I.

II. f(1) exists

III.

6. What is the area of the region between the graph of and the x-axis for x ≥ 4?

7. If g(x) is continuous for all real values of x, then

8. .

9. The is

10. Let f be a function with the following properties.

Which of the following is the third-degree Taylor polynomial for f about x = 2?