A+ Answers

Exam: 250316RR - Introduction to Calculus

1. Compute .

A. Doesn't exist

B. -1

C. 6

D. 3

2. Compute .

A.

1

B. 4

C. 6

D. 9

3. Use a table to find

A. 1

B. 2

C. -2

D. -1

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

5.

A. 30x

B. 30

C. 30x

D. 10x

6.

A. 2x - 1

B. x

C. 4x - 1

D. x - 1

7. Estimate  from the graph below.

A. 2

B. 2.8

C. 2.5

D. 4.3

8. Compute .

9. Compute .

A. 0.11

B. 0.1

C. 0.01

D. Doesn't exist

10. Where is  discontinuous?

11. Consider the figure shown. What is the value of  ?

A. 4

B. Doesn't exist

C. 3

D. 0

12. Let . Is there a value of a that would make ƒ(x) continuous everywhere?

A. Yes, a = 0.

B. Yes, a = e.

C. Yes, a = 1.

D. No

13. What is the slope of the tangent line to

14. Compute .

A. Doesn't exist

B. 36

C. 1

D. 330

15. 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. 5

B. 10

C. 20

D. 25

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

A. 0

B. 3

C. Doesn't exist

D. 4

17. Compute .

18. Where is y = lnx discontinuous?

A. Only at zero

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

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

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

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

A. y = -8x + 16

B. y = -16x + 72

C. y = -16x + 80

D. y = -8x + 80

at x = 4?

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

7 7.9 7.9999 8.001 8.1 9

f(x) -6 -6.2 -6.297 -6.303 -6.37 -7

A.

B.

C.

D.