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).

“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.