Question

This problem explores two analytical methods to approximate 4√(16.5) = (16.5)1/4 (a) Calculate the linear approximation...

This problem explores two analytical methods to approximate 4√(16.5) = (16.5)1/4

(a) Calculate the linear approximation to the function f(x) = x1/4 at the point a = 16 and use it to approximate 4√(16.5).

(b) Calculate the iteration scheme that arises from applying Newton’s Method to the function g(x) = x4-16.5 and use it to evaluate 2 iterates, x1, x2 with a starting guess of x0 = 2.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

if it is right than like it please give rating

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
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) =...
Consider the function g (x) = 12x + 4 - cos x. Given g (x) = 0 has a unique solution x = b in the interval (−1/2, 0), and you can use this without justification. (a) Show that Newton's method of starting point x0 = 0 gives a number sequence with b <··· <xn+1 <xn <··· <x1 <x0 = 0 (The word "curvature" should be included in the argument!) (b) Calculate x1 and x2. Use theorem 2 in section...
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...
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.)...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT