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Notes: (1) Use 6 decimal digits rounded for all your computations. (2) Show all the steps for the first iteration. For later iterations, just show the main steps. Question 1: Determine the root of: f(x)=-12-21x+18x² -2.75x' with stopping criteria of , = 1%: (a) Using Bisection Method with the initial bracket of x= -1 and x = 0. (b) Using Newton-Raphson Method with the initial guess of xo= -1. (c) Using Secant Method with initial guesses of of x./= 0 and xo= -1. (d) Using Modified Secant Method with xo= -1 and 8 = 0.01.

Notes: (1) Use 6 decimal digits rounded for all your computations. (2) Show all the steps for the first iteration. For later iterations, just show the main steps. Question 1: Determine the root of: f(x)=-12-21x+18x² -2.75x' with stopping criteria of , = 1%: (a) Using Bisection Method with the initial bracket of x= -1 and x = 0. (b) Using Newton-Raphson Method with the initial guess of xo= -1. (c) Using Secant Method with initial guesses of of x./= 0 and xo= -1. (d) Using Modified Secant Method with xo= -1 and 8 = 0.01.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Only part d needed

Notes: (1) Use 6 decimal digits rounded for all your computations. (2) Show all the steps for the first iteration. For later iterations, just show the main steps. Question 1: Determine the root of: f(x)=-12-21x+18x² -2.75x³ with stopping criteria of £ = 1%: (a) Using Bisection Method with the initial bracket of x= -1 and x = 0. (b) Using Newton-Raphson Method with the initial guess of xo= -1. (c) Using Secant Method with initial guesses of of x./= 0 and xo= -1. (d) Using Modified Secant Method with xo = -1 and 8 = 0.01.
Transcribed Image Text:Notes: (1) Use 6 decimal digits rounded for all your computations. (2) Show all the steps for the first iteration. For later iterations, just show the main steps. Question 1: Determine the root of: f(x)=-12-21x+18x² -2.75x³ with stopping criteria of £ = 1%: (a) Using Bisection Method with the initial bracket of x= -1 and x = 0. (b) Using Newton-Raphson Method with the initial guess of xo= -1. (c) Using Secant Method with initial guesses of of x./= 0 and xo= -1. (d) Using Modified Secant Method with xo = -1 and 8 = 0.01.
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