SHOW YOUR COMPLETE SOLUTIONS” Solve the following: 1. Find a root of an equation f(x) = 2x^3-2x-5 using False position method (regula falsi method) using 6 decimal places given the initial interval is (a= 1, b= 2) at a required tolerance of f(x)<(-0.00011).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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“SHOW YOUR COMPLETE SOLUTIONS”

Solve the following:
1. Find a root of an equation f(x) = 2x^3-2x-5 using False position method (regula falsi method) using 6 decimal places given the initial interval is (a= 1, b= 2) at a required tolerance of
f(x)<(-0.00011).


2. Find a root of an equation f(x)=x^3-x-1 using Newton Raphson method using 6 decimal places given the initial x subscript0 = 2 at a required tolerance of f(x)<0.004.


3. Find a root of a equation f(x) = 2x^3-2x-5 using Secant method using 6 decimal places given the initial interval is (a= 1, b= 2) at a required tolerance of f(x)<(-0.003).


4. Find a root of an equation f(x) = xlog10x - 1.2 using Bisection method when the initial interval is (a =2 and b = 3) such that the tolerance required is (b-a)<(0.00024) using 6 decimal places.


5. Find a root of an equation f(x) = 4.15x^3-2x+5.15 using Incremental search method at a step-size requirement of 0.001 when the initial interval is (a= -2, b= -1) using 6 decimal places.

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