Applied Calculus for the Managerial Life and Social Sciences 10th Edition Soo T Tan-Test Bank

 

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Sample Test

3_1___Basic_Rules_of_Differentiation

1. A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sold as aphrodisiacs. After severe conservation measures are implemented, it is hoped that the turtle population will grow according to the rule , where denotes the population at the end of year .

Find the rate of growth of the turtle population when .

a. 31 turtles/yr
b. 32 turtles/yr
c. 30 turtles/yr
d. 29 turtles/yr
e. 28 turtles/yr
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:01 AM
DATE MODIFIED: 12/25/2015 10:01 AM

2. An economy’s consumer price index (CPI) is described by the function , where corresponds to 1995.

At what rate was the CPI changing in 1998?

a. 12.6 pts/yr
b. 12.8 pts/yr
c. 12.7 pts/yr
d. 12.5 pts/yr
e. 12.4 pts/yr
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:01 AM
DATE MODIFIED: 12/25/2015 10:01 AM

3. Let .

Find the values of for which .

a.
b.
c.
d.
e.
ANSWER: e
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

4. Find the limit by evaluating the derivative of a suitable function at an appropriate point. (Hint: Look at the definition of the derivative.)

a. – 2
b. – 1
c. 2
d. 1
e. 0
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: False
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

5. Find the derivative of the function f by using the rules of differentiation.

a.
b.
c.
d.
e.
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

6. Find the slope and an equation of the tangent line to the graph of the function f at the specified point.

;

a. ,
b. ,
c. ,
d. ,
e. ,
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

7. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

8. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

9. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

10. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

11. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

12. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: c
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

13. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

14. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

15. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: c
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

16. Find the derivative of the function by using the rules of differentiation.

a.
b.
c.
d.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

17. Let . Find .

a.
b.
c.
d.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

18. Find the given limit by evaluating the derivative of a suitable function at an appropriate point.

a. 21
b. 35
c. 34
d. 16
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

19. Find the slope and an equation of the tangent line to the graph of the function at the point .

a. ;
b. ;
c. ;
d. ;
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

20. Let
Find the point(s) on the graph of where the tangent line is horizontal.

a. ,
b. ,
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

21. A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sold as aphrodisiacs. After severe conservation measures are implemented, it is hoped that the turtle population will grow according to the rule , where denotes the population at the end of year . Find the rate of growth of the turtle population when .

Find the rate of growth of the turtle population when .

What will be the population 10 yr after the conservation measures are implemented?

a. 91 turtles/yr; 395 turtles/yr; 5,401 turtles
b. 395 turtles/yr; 211 turtles/yr; 1,494 turtles
c. 211 turtles/yr; 91 turtles/yr; 5,957 turtles
d. 109 turtles/yr; 273 turtles/yr; 4,480 turtles
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

22. The supply function for a certain make of transistor radio is given by , where is the quantity supplied and is the unit price in dollars.

What is the rate of change of the unit price if the quantity supplied is 100 transistor radios?

a. $0.0015/radio
b. $0.01335/radio
c. $0.005735/radio
d. $0.01429/radio
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

23. Retail revenue each year from Internet shopping is approximated by the function
, where is measured in billions of dollars and is measured in years, with corresponding to the beginning of 1997.

How fast was the retail revenue/year from Internet shopping changing at the beginning of the year 2000?

a. $4.385 billion/yr
b. $4.315 billion/yr
c. $11.625 billion/yr
d. $4.865 billion/yr
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

24. Find the limit by evaluating the derivative of a suitable function at an appropriate point. (Hint: Look at the definition of the derivative.)

ANSWER: 3
POINTS: 1
QUESTION TYPE: Numeric Response
HAS VARIABLES: False
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

25. Find the derivative of the function by using the rules of differentiation.

ANSWER: -8
POINTS: 1
QUESTION TYPE: Numeric Response
HAS VARIABLES: False
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

26. Find the given limit by evaluating the derivative of a suitable function at an appropriate point.

ANSWER: 53
POINTS: 1
QUESTION TYPE: Numeric Response
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

27. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

28. An economy’s consumer price index (CPI) is described by the function , where corresponds to 1995.

At what rate was the CPI changing in 1997?

__________ pts/yr

At what rate was the CPI changing in 2004?

__________ pts/yr

At what rate was the CPI changing in 2005?

__________ pts/yr

What was the average rate of increase in the CPI over the period from 1997 to 2005?

__________ pts/yr
ANSWER: 9.6; 5.4; 0; 11.2
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

29. Let .

Find the values of for which .

__________

Find the values of for which .

__________

Find the values of for which .

__________
ANSWER: 0, -1; -3.2; -4.3
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: False
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

30. A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sold as aphrodisiacs. After severe conservation measures are implemented, it is hoped that the turtle population will grow according to the rule , where denotes the population at the end of year .

Find the rate of growth of the turtle population when .

__________ turtles/yr

Find the rate of growth of the turtle population when .

__________ turtles/yr

What will be the population 10 yr after the conservation measures are implemented?

__________ turtles
ANSWER: 38; 458; 3,440
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

31. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

32. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

33. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

34. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

35. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

36. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

37. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

38. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

39. Find the derivative of the function by using the rules of differentiation.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

40. Let .

Find the point(s) on the graph of where the tangent line is horizontal.
ANSWER: ,
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

41. A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sold as aphrodisiacs. After severe conservation measures are implemented, it is hoped that the turtle population will grow according to the rule , where denotes the population at the end of year . Find the rate of growth of the turtle population when .

__________ turtles/yr

Find the rate of growth of the turtle population when .

__________ turtles/yr

What will be the population 10 yr after the conservation measures are implemented?

__________ turtles
ANSWER: 185; 443; 3,350
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

42. Let .

__________

__________

__________
ANSWER: 91; –5; 91
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:02 AM
DATE MODIFIED: 12/25/2015 10:02 AM

3_2___The_Product_and_Quotient_Rules

1. Find the derivative of the function.

a.
b.
c.
d.
e.
ANSWER: c
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

2. Find the derivative of the function.

a.
b.
c.
d.
e.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

3. Find an equation of the tangent line to the graph of the function at the point .

a.
b.
c.
d.
e.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

4. The total worldwide box-office receipts for a long-running movie are approximated by the function , where is measured in millions of dollars and x is the number of years since the movie’s release. How fast are the total receipts changing 1 yr, 3 yr, and 5 yr after its release?

a. , ,
b. , ,
c. , ,
d. , ,
e. , ,
ANSWER: e
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

5. Evaluate at the value of .

a.
b.
c.
d.
e.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

6. Find an equation of the tangent line to the graph of the function at the point .

a.
b.
c.
d.
ANSWER: c
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: False
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

7. Determine whether the statement is true or false.

If f is differentiable, then .

a. true
b. false
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

8. Determine whether the statement is true or false.

If f is differentiable, then .

a. false
b. true
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: False
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

9. Find the slope and an equation of the tangent line to the graph of the function f at the specified point.

a. ,
b. ,
c. ,
d. ,
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

10. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

11. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

12. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

13. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

14. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

15. Find the slope and an equation of the tangent line to the graph of the function f at the specified point.

a.
b.
c.
d.
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

16. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

17. Find the derivative of the function and evaluate f ‘(x) at the given value of x.

a.
b.
c.
d.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

18. Find the derivative of the function and evaluate f ‘(x) at the given value of x.

a.
b.
c.
d.
ANSWER: c
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

19. Suppose f and g are functions that are differentiable at and that , , , and . Find the value of .

a.
b.
c.
d.
ANSWER: b
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

20. Suppose f and g are functions that are differentiable at and that , , , and . Find the value of .

a.
b.
c.
d.
ANSWER: c
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

21. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:03 AM
DATE MODIFIED: 12/25/2015 10:03 AM

22. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: d
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

23. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: c
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

24. Find the derivative of the function.

a.
b.
c.
d.
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

25. Find the point(s) on the graph of the function where the slope of the tangent line is equal to – 6.

a.
b.
c.
d.
e.
ANSWER: c, d
POINTS: 1
QUESTION TYPE: Multiple Response
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

26. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

27. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

28. Find an equation of the tangent line to the graph of the function at the point (2, 3).

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

29. Find the point(s) on the graph of the function where the slope of the tangent line is equal to – 7.
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

30. The total worldwide box-office receipts for a long-running movie are approximated by the function , where T(x) is measured in millions of dollars and x is the number of years since the movie’s release. How fast are the total receipts changing 1 yr, 3 yr, and 5 yr after its release?
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

31. Find an equation of the tangent line to the graph of the function at the point (1, 2).
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

32. Find the slope and an equation of the tangent line to the graph of the function f at the specified point.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

33. Find the slope and an equation of the tangent line to the graph of the function f at the specified point.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

34. Find the derivative of the function and evaluate f ‘(x) at the given value of x.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

35. Find the derivative of the function and evaluate f ‘(x) at the given value of x.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

36. Suppose f and g are functions that are differentiable at x = 6 and that f(5) = 1, f ‘(5) = –1, g(5) = –2, and g ‘(5) = 5. Find the value of h ‘(5).

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

37. Suppose f and g are functions that are differentiable at x = 5 and that f(5) = 8, f ‘(5) = –4, g(5) = –1, and g ‘(5) = 3. Find the value of h ‘(5).

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

38. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

39. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

40. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

41. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

42. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

43. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

44. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

45. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

46. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

47. Find the derivative of the function.

ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

48. Determine whether the statement is true or false.

If f is differentiable, then .
ANSWER: false
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 10:04 AM
DATE MODIFIED: 12/25/2015 10:04 AM

 

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