Deck 3: Section 8: Differentiation

Question 1

Complete two iterations of Newton's Method for the function using the initial guess . Round your answers to four decimal places.

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Answer 1

Question 2

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 thousand.

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Answer 2

Question 3

Apply Newton's Method to approximate the x-value of the indicated point of intersection of Continue the process until two successive approximations differ by less than 0.001. [Hint: Let .] Round your answer to three decimal places.

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Answer 3

Question 4

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 .]

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Question 5

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 $ . Round your answer to the nearest dollar.

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Question 6

Use Newton's Method to approximate the zero(s) of the function accurate to three decimal places.

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Question 7

Use Newton´s Method to approximate the zero(s) of the function accurate to three decimal places.

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Question 8

Use Newton's Method to approximate the zero(s) of the function accurate to three decimal places.

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Question 9

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.

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Question 10

Approximate the fixed point of the function between to two decimal places. [A of a function f is a value of x such that .]

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Question 11

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 .]

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Question 12

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.

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