1.

Evaluate . (5 points)

	33
	42
	45
	135

2.

Use geometry to evaluate where . (5 points)

3.

Find F ‘(x) for . (5 points)

	None of these

4.

Find the antiderivative of . (5 points)

	None of these

5.

Evaluate . (5 points)

6.

Use your calculator to evaluate . (5 points)

	0.152
	-0.218
	0.262
	-0.555

7.

R is the 4th quadrant region enclosed by the x-axis and the curve y = x² – 2kx, where k > 0. Find the value of k so that the area of the region R is 36 square units. (5 points)

	2
	3
	4
	6

8.

The base of a solid is bounded by the curve , the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid. (5 points)

	0.5
	3.464
	4.5
	None of these

9.

Find the average value of f(x) = cos(x) on the interval [0, ]. (5 points)

	1
	π
	0

10.

Find the domain for the particular solution to the differential equation , with initial condition y(2) = 2. (5 points)

	x > -2
	[-4, 4]
	All real numbers

11.

The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.

(5 points)

	y=Cx2
	x=Cy2
	y2 – x2 = C2
	x2 + y2 = C2

12.

The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4 intervals between those given points. (5 points)

x	4	9	11	14	15
f(x)	-6	-11	-18	-21	-25

	-12.727
	-11.546
	-16.273
	-13.909

13.

If the graph of f ‘(x) has an x-intercept at x = c, which of the following must be true? (5 points)

	The graph of f has a relative minimum or relative maximum at x = c.
	The graph of f has an inflection point at x = c.
	The graph of f has an x-intercept at x = c.
	None of the above is necessarily true.

14.

Which of the following shows that f(x) grows faster than g(x)? (5 points)

	None of these

15.

Find F ‘(x) for . (5 points)

	sin(24) – sin(x12)
	sin(x7)
	-sin(x12)
	-3x2sin(x12)