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Applied Calculus For The Managerial, Life, And Social Sciences 10th Edition By Soo T. – Test Bank

1. Find P2(x), the second Taylor polynomial of the following function at the indicated point.

at

Express any non-integer coefficients as reduced fractions.
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

2. Find P4(x), the fourth Taylor polynomial of the following function at the indicated point.

at

Express any non-integer coefficients as reduced fractions.
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

3. Find P4(x), the fourth Taylor polynomial of the following function at the indicated point.

at

Express any non-integer coefficients as reduced fractions.
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: False
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

4. Find P4(x), the fourth Taylor polynomial of the following function at the indicated point.

at

Express any non-integer coefficients as reduced fractions.
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

5. Find P3(x), the third Taylor polynomial of the following function at the indicated point.

at

Express any non-integer coefficients as reduced fractions.
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: False
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

6. Find P3(x), the third Taylor polynomial of the following function at the indicated point.

at

Express any non-integer coefficients as reduced fractions.
ANSWER:

POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: False
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

7. Find P3(x), the third Taylor polynomial of the following function at the indicated point.

at

Express any non-integer coefficients as reduced fractions.
ANSWER:
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: False
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

8. Consider the function at . Round answers to eight decimal places, if necessary.

Use the second Taylor polynomial to approximate .

__________

Find a bound for the error in the approximation.

__________
ANSWER: 3.00665926; 0.00000002
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

9. Consider the function at .

Use the second Taylor polynomial to approximate . Round the answer to six decimal places, if necessary.

__________

Find a bound for the error in the approximation. Round the answer to five decimal places, if necessary.

__________
ANSWER: 2.049375; 0.00002
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM

10. Consider the function at .

Use the second Taylor polynomial to approximate . Round the answer to three decimal places, if necessary.

__________

Find a bound for the error in the approximation. Round the answer to five decimal places, if necessary.

__________
ANSWER: 0.180; 0.00267
POINTS: 1
QUESTION TYPE: Subjective Short Answer
HAS VARIABLES: True
DATE CREATED: 12/25/2015 11:13 AM
DATE MODIFIED: 12/25/2015 11:13 AM