1. Compute .

A.6

 

C.Doesn't exist

D.4

  

2. The area of a square with side length x is x

. What is the instantaneous rate of change in area if x is 5 and increasing?

A.25

B.5

C.20

D.10

  

3. 

A.3x

B.13

C.x

D.3

  

4. Compute .

A.36

B.1

C.Doesn't exist

D.330

  

5. Compute .

 

C.Doesn't exist

 

6.The table shown gives some evidence that which mathematical statement is true?

  

  

  

  

7.Where is y = lnx discontinuous?

A.Only at zero

 

B.Only where it's undefined, which is for all x < 0

C.Nowhere. It's a smooth curve on its entire domain.

D.Only where it's undefined, which is for all  

  

8. Which of these is a tangent line to y = -x

A.y = -16x + 80

B.y = -8x + 80

C.y = -8x + 16

D.y = -16x + 72

  

9. use aa table to find  

A.1

B.-2

C.-1 D. 2

10. What is the slope of the tangent line to  

11. Compute .

A.Doesn't exist

B.0

C.21/2

D.2

  

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

  

A.1,3

B.Nowhere

C.3.5

D.-3,-1,1,3

  

 

13. Consider the figure shown here. What is the value of ?  

A.4

B.3

C.0

D.Doesn't exist

  

14. Compute .

 

A.Doesn't exist

B.0.1

C.0.11

D.0.01

  

15. Find the average velocity from time t = 0 to t = 1 of a car whose position p(t) along a horizontal track

is given by the equation p(t) = 4 - (t - 2)

A.2

B.1

C.4

D.3

  

 

16. If  exists, is ƒ therefore continuous at x = a?

A.Yes

B.No

C.  

D. If ƒ(a) also exists, yes

  

18. Compute .

19.Which of the following statements is true about the function ƒ shown in the graph below? Assume the viewing window extends from (-6,-6) to (6,6).  

20.Which of the following is not a property of limits?

 

 

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