Approximate the zero(s) of the function Use Newton's Method and continue the process until two successive approximations differ by less than 0 001 Then find the zero(s) using a graphing utility and compare the results f ( x ) x 3 4 9 x 2 6 79 x 2 871 Newton's Method Graphing Method x x (Smallest Value) x x x x (Largest Value) Approximate the fixed point of the function to two decimal places A fixed point x 0 of a function f is a value of x such that f ( x 0 ) x 0 f ( x ) 2 ln x x 0

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Question: Approximate the zero(s) of the function. Use Newton's Method and continue the process until two successive approximations differ by less than 0.001. Then find the

Approximate the zero(s) of the function. Use Newton's Method and continue the process until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility and compare the results.

f(x) =x³4.9x²+6.79x2.871

Newton's Method | Graphing Method

x= x = (Smallest Value)

x= x =

x= x = (Largest Value)

Approximate the fixed point of the function to two decimal places. [Afixed point x₀of a functionfis a value ofxsuch thatf(x₀) =x₀.]

f(x) =2lnx

x₀=

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