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1. When is the particle whose path is described by , from t > 0, slowing down?

2. What is the area enclosed by the curve f(x) = 4x^{2} - x^{4} and the x-axis?

3. Which of the following is an asymptote for the curve ?

4.

5. What is the area between the curves y = x^{3} - 2x^{2} - 5x + 6 and y = x^{2} - x - 6 from x = -2 to x = 3 ?

6. Find the average value of f(x) = (3x - 1)^{3} on the interval from x = -1 to x = 3.

7. The curve y = ax^{2} + bx + c passes through the point (1, 5) and is normal to the line -x + 5y = 15 at (0, 3). What is the equation of the curve?