Find the root of x² – e2* = 0 using: a. Bisection method between [0, 1] b. Simple Fixed-Point Iteration starting at 1 Express results in five decimal places and relative percent error of < 0.05%.
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Numerical Method
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- Use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value.5. Carry out the first three iterations by using bisection method to find the root of e^x−3x =0 on (0, 1).Solve the roots of the following nonlinear functions using the Bisection Method with five (5) decimal place accuracy.
- Use Euler method to approximate the value of y(0.1), given y' - x2 - y = 5 , y(0) = 2 with Δx = 0.025NEED ASAP!! Find a root greater than zero of f(x)=e^x−2x−5 using the Fixed-Point Iteration Method with an initial estimate of 2, and accurate to five decimal places.Find the rootd using 1)fixed point iteration and2)newtons method A.e^-x-3logx=0 B.f(x)=e^-x(x^2-5x+2) C.3^2x+3=2187 D.15x^2+2x-8=0 E arctan(1-x)+arctan(1+x)=arctan1/8
- . Find the root of x3−2x +14=0, correct to 3 decimal places using the Newton-Raphson method.Determine the positive real root of ln(x2)=0.7 a. graphically b. using three iterations of the bisection method, with initial guesses of xl=0.5 and xu=2 c. using three iterations of the false position method, with the same initial guesses of xl=0.5 and xu=2Sketch the graph of the functions y=3x^2 and y= e^x to find an approximation x0 for the x-coordinate of their point of intersection. Use the Bisection Method to obtain an estimate of the x-coordinate of the point of intersection. Use as many iterations as necessary to obtain an estimate which is accurate to five decimal places.
- Find the third iteration value of an extremum (maximum/minimum value) of the image if a = 4, b = 0.25, and c = 6 using Newton's Method with an initial guess value of x = - 4.7 Round off the final answer to five decimal places but do not round off on previous calculations.Find the Taylor polynomial T(x) for sin(2x) centered at 0. What is T(1)?