Question

# 3.8/3.9 5. Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until...

3.8/3.9

5. 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) to three decimal places using a graphing utility and compare the results.

f(x) = 3 − x + sin(x)

Newton's Method: x=

Graphing Utility: x=

6. Find the tangent line approximation T to the graph of f at the given point. Then complete the table. (Round your answer to four decimal places.)

f (x) = 15/x^2, (5,3/5)

 x 4.9 4.99 5 5.01 5.1 f(x) T(x)

4.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) to three decimal places using a graphing utility and compare the results.

f(x) = x3 + x − 1

Newton's Method: x=

Graphing Utility: x=

1. Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal places.)

f(x) = x2 − 5,    x1 = 2

n

xn

f(xn)

f '(xn)

 f(xn) f '(xn)
xn
 f(xn) f '(xn)
1
2

By rules and regulations we are allow to do only one question at a time..so i do only 5th..

.

please thumbs up for this solution..,thanks..

.

Graphing = 3.071

Newton = 3.071

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