1. For each of the following question, the symbols represent the usual meaning. Here, N = 156 Do not round off any digits from the solution. Solve the problems for the following equation. Also calculate true percent relative error and approximate percent relative error: f(x) = -2x3 – 11.7x? – 17.7x + 20 a. Suppose you want to find the root of this equation using bisection method. In one iteration, x, = -15, xu = N. Find out the estimated root after 3 iteration. b. Suppose you want to find the root of this equation using Newton-Raphson method. In the ith iteration, the estimate, x; = N. Find out the estimated root after 3 iteration.
1. For each of the following question, the symbols represent the usual meaning. Here, N = 156 Do not round off any digits from the solution. Solve the problems for the following equation. Also calculate true percent relative error and approximate percent relative error: f(x) = -2x3 – 11.7x? – 17.7x + 20 a. Suppose you want to find the root of this equation using bisection method. In one iteration, x, = -15, xu = N. Find out the estimated root after 3 iteration. b. Suppose you want to find the root of this equation using Newton-Raphson method. In the ith iteration, the estimate, x; = N. Find out the estimated root after 3 iteration.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:1.
For each of the following question, the symbols represent the usual meaning. Here, N = 156
%3D
. Do not round off any digits from the solution. Solve the
problems for the following equation. Also calculate true percent relative error and
approximate percent relative error:
f (x) = -2x³ – 11.7x² – 17.7x + 20
a. Suppose you want to find the root of this equation using bisection method. In one
iteration, xị =
b. Suppose you want to find the root of this equation using Newton-Raphson
method. In the ith iteration, the estimate, x; = N. Find out the estimated root after
3 iteration.
-15, xu = N. Find out the estimated root after 3 iteration.
%3D
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