Exam 3: Section 8: Differentiation

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.

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

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

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

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 .]

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

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

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.

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 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.

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 .]

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.