Question

Complete four iterations of Newton’s Method for the function f(x)=x^3+2x+1 using initial guess x1= -.5

Complete four iterations of Newton’s Method for the function f(x)=x^3+2x+1 using initial guess x1= -.5

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Here

Let

Iteration -1 :

Iteration -2 :

Iteration - 3:

Iteration - 4:

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
17. I am using Newton’s method to find the negative root of f(x) = 3−x2. (a)...
17. I am using Newton’s method to find the negative root of f(x) = 3−x2. (a) What would be a good guess for x1? Draw the line tangent to f(x) at your x1 and explain why using Newton’s method would lead to the negative root of the function. (b) What would be a bad guess for x1? Draw the line tangent to f(x) at your x1 and explain why using Newton’s method would not lead to the negative root of...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x,    x1 = 0.8
Use Newton’s Method to approximate a critical number of the function ?(?)=(1/3)?^3−2?+6. f(x)=1/3x^3−2x+6 near the point...
Use Newton’s Method to approximate a critical number of the function ?(?)=(1/3)?^3−2?+6. f(x)=1/3x^3−2x+6 near the point ?=1x=1. Find the next two approximations, ?2 and ?3 using ?1=1. x1=1 as the initial approximation.
Calculate two iterations of Newton's Method to approximate a zero of the function using the given...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x, x1 = 0.8 n xn f(xn) f '(xn) f(xn) f '(xn) xn − f(xn) f '(xn) 1 2
Calculate two iterations of Newton's Method to approximate a zero of the function using the given...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to three decimal places.) f(x) = x3 − 3, x1 = 1.6
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.)...
Apply Newton's Method to f and initial guess x0 to calculate x1, x2, and x3. (Round...
Apply Newton's Method to f and initial guess x0 to calculate x1, x2, and x3. (Round your answers to seven decimal places.) f(x) = 1 − 2x sin(x), x0 = 7
2. (a) For the equation e^x = 3 - 2 x , find a function, f(x),...
2. (a) For the equation e^x = 3 - 2 x , find a function, f(x), whose x-intercept is the solution of the equation (i.e. a function suitable to use in Newton’s Method), and use it to set up xn+1 for Newton’s Method. (b) Use Newton's method to find x3 , x4 and x5 using the initial guess x1 = 0 . How many digits of accuracy are you certain of from these results? (c) Use x1+ ln 2   and show...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given...
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to three decimal places.) 45. f(x) = x5 − 5,    x1 = 1.4 n xn f(xn) f '(xn) f(xn) f '(xn) xn − f(xn) f '(xn) 1 2 40. Find two positive numbers satisfying the given requirements. The product is 234 and the sum is a minimum. smaller value= larger value= 30.Determine the open intervals on which the graph is...
Find the root of the function: f(x)=2x+sin⁡(x)-e^x, using Newton Method and initial value of 0. Calculate...
Find the root of the function: f(x)=2x+sin⁡(x)-e^x, using Newton Method and initial value of 0. Calculate the approximate error in each step. Use maximum 4 steps (in case you do not observe a convergence).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT