10
1. Use differentials to approximate the value of . Round your answer to four decimal places. A) 8.0250 B) 8.0150 C) 8.0350 D) 8.0450 E) 8.0550 2. Find the value of the derivative (if it exists) of the function at the extremum point (0,0). A) 0 B) 1

calc test chapter 3

Embed Size (px)

Citation preview

Page 1: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 1/10

Page 2: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 2/10

C) -1

D)

E)

3. 

Locate the absolute extrema of the function on the closed interval [0,6].

A) Absolute max: f( 0) = 0 ; Absolute min: f( 4) = –128

B) Absolute max: f( 4) = –128 ; Absolute min: f( 0) = 0

C) Absolute max: f( 0) = 0 ; No absolute min

D) No absolute max; Absolute min: f( 0) = 0

E) No absolute max or min

4. 

Determine whether the Mean Value Theorem can be applied to the function on the closedinterval [3,9]. If the Mean Value Theorem can be applied, find all numbers c in the open interval

(3,9) such that .

A) MVT applies; 5

B) MVT applies; 7

C) MVT applies; 6

D) MVT applies; 8

E) MVT applies; 4

Page 3: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 3/10

5. 

The graph of f is shown in the figure. Sketch a graph of the derivative of f .

A)

B)

Page 4: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 4/10

C)

D)

E)

Page 5: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 5/10

6. 

Determine the open intervals on which the graph of is concave downward

or concave upward.

A) Concave downward on

B) Concave downward on ; concave upward on

C) Concave upward on ; concave downward on

D) Concave downward on ; concave upward on

E) Concave upward on ; concave downward on

7. 

Find the points of inflection and discuss the concavity of the function.

Page 6: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 6/10

A) Inflection point at ; concave upward on ; concave downward on

B) Inflection point at ; concave downward on ; concave upward on

C) Inflection point at ; concave upward on ; concave downward on

D) Inflection point at ; concave downward on ; concave upward on

E) None of the above

8. 

Match the function with one of the following graphs.

A)

B)

Page 7: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 7/10

C)

D)

E)

Page 8: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 8/10

9. 

Find the limit.

A)

B) 1

C) 0

D)

E)

10. 

Find the limit.

A) –3

B)

C)

D) 1

E)

11. 

Page 9: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 9/10

Determine the slant asymptote of the graph of .

A)

B)

C)

D)

E) No slant asymptote

12. 

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if itssurface area is 361 meters.

A) Square base side ; height

B) Square base side ; height

C) Square base side ; height

D) Square base side ; height

E) Square base side ; height

13. 

A sector with central angle is cut from a circle of radius 11 inches, and the edges of the sector are

brought together to form a cone. Find the magnitude of such that the volume of the cone is a

maximum.

Page 10: calc test chapter 3

8/7/2019 calc test chapter 3

http://slidepdf.com/reader/full/calc-test-chapter-3 10/10

A) radians

B) radians

C) radians

D) radians

E) radians

14. 

Complete two iterations of Newton's Method for the function using the initial guess2.4.

A) 2.45011, 2.449290

B) 2.45014, 2.449690

C) 2.45014, 2.449590

D) 2.45, 2.449490

E) 2.44979, 2.449390