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1. If f(x) = sin^{2}x, Find f′″(x).

2. Find the slope of the normal line to y = x + cos xy at (0, 1).

3.

4.

5. A solid is generated when the region in the first quadrant bounded by the graph of y = 1 + sin^{2}x, the line x = , the x-axis, and the y-axis is revolved about the x-axis. Its volume is found by evaluating which of the following integrals?

6. If y = , find at x = 1.

7.

8. If = and y = 2 when x =1, then, when x = 2, y =

9. The graph of y = 5x^{4} - x^{5} has an inflection point (or points) at

10.