1. What is the instantaneous slope of y = eight over x at x = -3? (4 points)

negative eight over 3

eight over 3

negative eight over nine

eight over nine

2. What is the average rate of change of y with respect to x over the interval [-3, 4] for the function y = 2x + 2? (4 points)

2 over 7

14

1 over 2

2

3. What is the slope for the function y = -3x2 + 2 at the point x = 2? (4 points)

-4

-10

-12

The slope cannot be determined.

4. The surface area, S, of a sphere of radius r feet is S = S(r) = 4r2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 2. (4 points)

32

16

64

4

5. A ball is thrown vertically upward from the top of a 100 foot tower, with an initial velocity of 10 ft/sec. Its position function is s(t) = -16t2 + 10t + 100. What is its velocity in ft/sec when t = 2 seconds? (4 points)

-32

-38

-54

80