Determine the highest real root of (x) = 2x 3 11.7x 2 + 17.7x

Question:

Determine the highest real root of

ƒ (x) = 2x3 – 11.7x2 + 17.7x – 5

(a) Graphically

(b) Fixed-point iteration method (three iterations, x0 = 3). Note: Make certain that you develop a solution that converges on the root.

(c) Newton-Raphson method (three iterations, x0 = 3).

(d) Secant method (three iterations, x – 1 = 3, x0 = 4).

(e) Modified secant method (three iterations, x0 = 3, δ = 0.01).Compute the approximate percent relative errors for your solution.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

Question Posted: