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(Solved): - 1. Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until t ...



- 1. Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility and compare the results. (Round your answers to four decimal places.)

f(x) = x ? 2(x + 8)

Newton's method:x=

Graphing utility:x=

- 1.1 Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility and compare the results. (Round your answers to four decimal places.)

f(x) = 6 ? x3

Newton's method:x=

Graphing utility:x=

- ???????1.3 Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility and compare the results. (Round your answers to four decimal places.)

f(x) = 6 ? x + sin(x)

Newton's method:x=

Graphing utility:x=



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1.1)f(x) = 6 ? x^3f'(x) = -3x^2Explanation:x1 = 1 (initial guess)x2 = x
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