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1. If y = tan(2πx), then = ?

2.

3. tan^{2} x dx

4. For 0 ≤ t ≤ , an object travels along the ellipse given by x = 2sin t, y = -3cos t. At t = , the object leaves the ellipse and travels along the line tangent to the path at that point. What is the slope of the tangent line at t = ?

5. If f(x) = , which of the following is true?

6.

7. The position of a particle at time t ≥ 0, in seconds, is given by x = 2t^{3} + 3t^{2} – 12t and y = 2t^{3} – 15t^{2} + 24t. At what values of t is the particle at rest?

8. 3x csc^{2} x^{2} dx =

9. If f(x) = log_{5}(x^{3} - x - 1), then f′(2) =

10. What is the value of ?