# Section_ 2.8 Newton’s Method

Education

12

All Questions

12

Multiple Choice

0

True False

0

Essay

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Short Answer

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Not Answered

Q 1

Complete two iterations of Newton's Method for the function using the initial guess 0.8.Round your answers to four decimal places.
A)1.0251,1.0001
B)1.0251,1.0005
C)1.0251,1.0004
D)1.0248,1.0002
E)1.0250,1.0003

Free

Multiple Choice

E

Q 2

Complete two iterations of Newton's Method for the function using the initial guess .Round all numerical values in your answer to four decimal places.
A)
1
2
B)
1
2
C)
1
2
D)
1
2
E)
1
2

Free

Multiple Choice

D

Q 3

Use Newton's Method to approximate the zero(s)of the function accurate to three decimal places.
A)0.486
B)-0.486
C)-0.528
D)0.517
E)0.433

Free

Multiple Choice

B

Q 4

Use Newton's Method to approximate the zero(s)of the function accurate to three decimal places.
A)-0.486
B)0.444
C)-0.539
D)0.486
E)-0.437

Multiple Choice

Q 5

Use Newton's Method to approximate the zero(s)of the function accurate to three decimal places.
A)19.314
B)-19.346
C)19.251
D)-19.314
E)19.365

Multiple Choice

Q 6

Approximate the positive zero(s)of the function to three decimal places.Use Newton's Method and continue the process until two successive approximations differ by less than 0.001.
A)-1.304
B)1.202
C)1.179
D)-1.202
E)1.253

Multiple Choice

Q 7

Use Newton's Method to approximate the x-value of the indicated point of intersection of the two graphs accurate to three decimal places.Continue the process until two successive approximations differ by less than 0.001.[Hint: Let .]
A)0.444
B)0.371
C)0.432
D)0.393
E)0.476

Multiple Choice

Q 8

Use Newton's Method to approximate the x-value of the indicated point of intersection of the two graphs accurate to three decimal places.Continue the process until two successive approximations differ by less than 0.001.[Hint: Let .]
A)2.651
B)2.703
C)2.660
D)2.764
E)2.600

Multiple Choice

Q 9

Apply Newton's Method to approximate the x-value of the indicated point of intersection of and .Continue the process until two successive approximations differ by less than 0.001.[Hint: Let .] Round your answer to three decimal places.
A)5.494
B)8.725
C)6.494
D)7.725
E)4.641

Multiple Choice

Q 10

Approximate the fixed point of the function between and to two decimal places.[A fixed point of a function f is a value of x such that .]
A)0.65
B)0
C)0.74
D)1.00
E)0.91

Multiple Choice

Q 11

Suppose that the total number of arrests T (in thousands)for all males ages 14 to 27 in 2006 is approximated by the model where x is the age in years (see figure).Approximate the two ages to one decimal place that had total arrests of 300 thousand.
A)16.1;22.9
B)17.4;21.3
C)15.1;25.9
D)16.1;25.9
E)15.1;21.3

Multiple Choice

Q 12

A manufacturer of digital audio players estimates that the profit for selling a particular model is where P is the profit in dollars and x is the advertising expense in 10,000's of dollars (see figure).Find the smaller of two advertising amounts that yield a profit P of $1,900,000.Round your answer to the nearest dollar.
A)$532,519
B)$291,308
C)$271,308
D)$460,892
E)$315,369

Multiple Choice