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1. The average value of sec^{2}x on the interval is

2. Find the area of the region bounded by the parabolas y = x^{2} and y = 6x - x^{2}.

3. The function f is given by f(x) = x^{4} + 4x^{3}. On which of the following intervals is f decreasing?

4.

5. If the region enclosed by the y-axis, the curve y = , and the line y = 8 is revolved about the x-axis, the volume of the solid generated is

6. The maximum velocity attained on the interval 0 ≤ t ≤ 5, by the particle whose displacement is given by s(t) = 2t^{3} - 12t^{2} + 16t + 2 is

7. The value of c that satisfies the Mean Value Theorem for derivatives on the interval [0, 5] for the function f(x) = x^{3} - 6x is

8. If f(x) = sec (4x), then f′ is

9. cost dt =

10.

Let g(x) = where f(t) has the graph shown above. Which of the following could be the graph of g ?