Pre calculus

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4.   Find 

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A. 5

B. 16

C. 7

D. 11

5.   An explosion causes debris to rise vertically with an initial velocity of 4 feet per second. The function 

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 describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. What's the instantaneous velocity of the debris 3.3 second(s) after the explosion? 

    

A. 41.6 feet per second

B. –41.6 feet per second

C. –105.6 feet per second

D. 105.6 feet per second

6.   Which of these is a tangent line to 

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? 

    

A.  y = 13x – 72

B.  y = 2x + 5

C.  y = 2x – 5

D.  y = 13x – 16

7.   A foul tip of a baseball is hit straight upward from a height of 4 feet with an initial velocity of 32 feet per second. The function 

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 describes the ball's height above the ground, s(t) in feet, t seconds after it was hit. What's the instantaneous velocity of the ball 1.1 seconds after it was hit? 

    

A. 35.2 feet per second

B. –3.2 feet per second

C. 3.2 feet per second

D. –35.2 feet per second

8.   Compute 

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A. Doesn't exist

B. 0

C. 5

D. –5

9.   At which points is the function shown in the graph discontinuous?

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A. 1, 3

B. Nowhere

C. –3, –1, 1, 3

D. 3.5

10.   Find 

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A. 3

B. 3x

C. 13

D. 3

13.   The function 

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 describes the volume, f(x), of a right circular cylinder of height 4 feet and radius x feet. If the radius is changing, find the instantaneous rate of change of the volume with respect to the radius when the radius is 7 feet. Leave answer in terms of π. 

    

A. 28 π cubic feet per feet

B. 8 π cubic feet per feet

C. 56 π cubic feet per feet

D. 14 π cubic feet per feet

15.   Which of these is a tangent line to 

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? 

    

A. 

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B. 

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C. 

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D. 

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16.   Find the slope of the tangent line to the graph of f at the given point. 

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A. 9

B. 13

C. 21

D. 3

19.   Use a table to find 

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A. 2

B. 0

C. 1

D. –2

20.   Let 

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. Is there a value that would make f(x) continuous everywhere? 

    

A. Yes, a = 1

B. No

C. Yes, a = e

D. Yes, a = 0

17.   Where is 

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 discontinuous? 

A. 

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B. 

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C. 

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D. 

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1.   Compute 

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A. 2

B. 0

C. 21⁄2

D. Doesn't exist