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(Solved): 7) Use Newton's method to approximate \( \sqrt[4]{82} \). correct to six decimal places. a) (2 \( \ ...
![7) Use Newtons method to approximate \( \sqrt[4]{82} \). correct to six decimal places.
a) (2 \( \mathrm{pts} \) ) What is t](https://media.cheggcdn.com/study/886/886f3907-ca78-4312-a29d-cf1b30d6aad8/image)
7) Use Newton's method to approximate \( \sqrt[4]{82} \). correct to six decimal places. a) (2 \( \mathrm{pts} \) ) What is the good choice for \( x_{1} \) ? Why? c) \( (4 \mathrm{pts}) \) Show the answers, \( x_{1}, x_{2}, x_{3}, \ldots \) b) (4 pts) Find the function \( f \) and find the equation of \( x_{n+1} \).