By use Bisection methody=Inx Andy=2x-3H.W:The second point of intersection is (0.048673,-2.9026).Note:If we want to estimate the number of iterations required to find the above firstroot to the given accuracy, then:|x -x,In1-2In|1x10-3n2n29.96.In 2In2So we need 10 iterations.

The steps to find the root of the function f(x) by bisection method are as follows. Identify two…

Answered: By use Bisection method y=Inx And…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 21EQ

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Use Euler method to approximate the value of y(0.2), given ay' - by = kcos(cx) + mx , y(0) = 5 with Δx = 0.025 if a = 2, b = 4, k = 6, c = 2, and m = 7 Round off the final answer to five decimal places but do not round off on previous calculations.
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Prior to entering in the corresponding input fields, all numerical answers should be rounded to 6-digit floating-point numbers. Given a real number z, the symbol z˜ denotes the result of rounding of z to a 6-digit floating-point number. i)use the Bisection method to find an approximation pN of the unique solution p the equation 3.60x(1-x2+x)In(x)=x2-1 in[a,b]=[0.05,0.5] such that RE(p˜N≈p˜N-1)<10-3.
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By use Bisection method y=Inx And y=2x-3 H.W: The second point of intersection is (0.048673,-2.9026).