Calc 3.1 Quiz Review

Review for quiz Calculus 3.1 Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the average rate of change for the function over the given interval. 1) y = 2x between x = 2 and x = 8 1 3 A) 2 B) C) 3 10

1) D) 7

2) Find the average rate of change for f(x) = -3x2 - 2x + 5 on [-2, 1] A) 3 B) - 7 C) 1 D) -3

Find the instantaneous rate of change for the function at the given value. 3) g(t) = 3t2 + 6 at t = 4 A) -24

4) F(x) = 2x2 + x - 3 A) 19

B) 24

at x = 4

C) 12

B) 15

C) 17

1

E) 0

D) 8

D) 5

2)

3)

4)

Find the slope of the curve at the indicated point. 5) f(x) = x2 + 5x at (4, f(4)) A) 9

B) 36

C) 13

5)

D) 8

OPEN ENDED QUESTIONS. Answer the following questions and show all necessary work to receive full credit. 6) A rock is thrown off a cliff. Its distance from the ground below at t seconds is s(t ) = -16t 2 + 16t + 96 feet. What is the velocity after 1 second?

6)

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem.

7) The height of a projectile launched into the air is given by h(t) = -16t2 + 64t + 80, where h is the height of the projectile in feet above the ground and t is the number of seconds after its launch. Find the average rate of change in the height of the projectile between 3.5 seconds and 4 seconds. A) 264 feet per second B) -56 feet per second C) 56 feet per second D) 3.73 feet per second

2

7)