10 questions

20 minutes

See All test questions

Calculator Disallowed

1. If f(x) = 5^{3x}, then f′(x) =

2. A solid is generated when the region in the first quadrant enclosed by the graph of y = (x^{2} + 1)^{3}, the line x = 1, the x-axis, and the y-axis is revolved about the x-axis. Its volume is found by evaluating which of the following integrals?

3.

4. If and y = 4 when x = 2, then when x = 3, y =

5.

6. If f(x) = cos^{3} (x + 1), then f′(π) =

7.

8. If f(x) = ln(ln(1 -x)), then f′(x) =

9.

10. tab^{6}x sec^{2}xdx =