To estimate: The value of a radical 50 4 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x 0 = 2.5 for the function f ( x ) = x 4 − 50 .

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Answer 1

Question

Chapter 11.7, Problem 6E

To determine

To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

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In Exercises 7–12, describe the relationship between the two quantities.

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America is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?

Answer 2

Question

Chapter 11.7, Problem 6E

To determine

To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

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Answer 3

Question

Chapter 11.7, Problem 6E

To determine

To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

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Answer 4

Question

Chapter 11.7, Problem 6E

To determine

To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

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Answer 5

Chapter 11.7, Problem 6E

To determine

To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

Answer 6

Chapter 11.7, Problem 6E

To determine

To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

Answer 7

Chapter 11.7, Problem 6E

To determine

To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 11.1 - Prob. 1CQ Ch. 11.1 - Prob. 2CQ Ch. 11.1 - Prob. 1E Ch. 11.1 - In Exercises 110, find the first three Taylor...Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - Prob. 8E

To estimate: The value of a radical 50 4 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x 0 = 2.5 for the function f ( x ) = x 4 − 50 .

Solution Summary: The author calculates the value of a radical sqrt[4]50 to five decimal places by using three iterations of Newton's method.

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To estimate: The value of a radical 504 to five decimal places by using three iterations of Newton’s method with the indicated initial guess x0=2.5 for the function f(x)=x4−50.

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Chapter 11 Solutions