Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) = x² - x - 1
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- Determine dimension x to 3 decimal places.Determine the root f(x)=x-2e^-x using newton-raphson method. Start at x1 = 0 and carry out the first 5 iterations. What is the value of the last iteration?Find the root of the function f(x) = ln(x2) – 0.7 using bisection and false position methods. Use initial guesses of 0.5 and 2.0 with five iterations and five decimal places. Which method is more efficient in finding the root ? Why ?
- Find a real root of 4*exp(-x/2)-3*ln(x)-3 = 0 using False Position method with a=0.1 and b=2.0 (calculate x4).A real root of the equation x^3-5x+1=0 lies in the interval(0,1). Perform 4 iterations for Secant method.Find all the roots of the given function . use preliminary analysis in graphing to find good initial approximation.f(x)=4 In x-x^2+6x+3 Please show COMPLETE solution
- Find the root of e^-x ( x^2 + 5x +2) +1 = 0, using the secant method with initial guess -2 and -1 to 5dp.Solve the approximate root of f(x) = x^5 - 3 using at least 5 iterations on Bisection Method with range from a = 0 and b = 10.Calculate one of the roots of the equation f(x) = x ^ 3 + x ^ 2 - 2x - 4 = 0 with an error less than ε = 0.001. *)use Linear interpolation methods and secant method
- Solve for x using simple fixed point iteration -e-0.2x + arctan x = 0.1. Stop after the 10th iteration. Use all decimal numbers showed in the calculator.Use Fixed-Point Iteration Method to obtain a real root of x^3-5x+1=0 with x₀=0 until absolute errorFind a root of an equation f(x) = x^4-2 using Halley's method.