b) Now, use the central difference method to estimate f'(3) with a step size of 0.01 and use this value in an approximate version of the Newton-Raphson method to derive 1 improvement on co. The root ₁ of the function after one improvement is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

I need help on this question: 

The smallest positive zero of f(x) = x tan(x)+3 is a measure of how quickly certain evanescent water waves decay, and its value, x0, is near 3. (Round to 6 decimal places)

b)
Now, use the central difference method to estimate f'(3) with a step size of
0.01 and use this value in an approximate version of the Newton-Raphson
method to derive 1 improvement on co.
The root ₁ of the function after one improvement is
Transcribed Image Text:b) Now, use the central difference method to estimate f'(3) with a step size of 0.01 and use this value in an approximate version of the Newton-Raphson method to derive 1 improvement on co. The root ₁ of the function after one improvement is
a)
Use the forward difference method to estimate ƒ' (3) with a step size of 0.01
and use this value in an approximate version of the Newton-Raphson method to
derive 1 improvement on xo.
The root of the function after one improvement is
Transcribed Image Text:a) Use the forward difference method to estimate ƒ' (3) with a step size of 0.01 and use this value in an approximate version of the Newton-Raphson method to derive 1 improvement on xo. The root of the function after one improvement is
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,