e) Modified secant method (three iterations, x, =1, 8=0,01). lutionc
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- Find the positive root of x -cos x = 0by iteration and regulafalsi method.Solve for y2 by using reduction of order And for nonhomogeneous using undetermined coefficients linear mathematicsCalculate the real root of f(x)=x^3-2x^2-2x-1.9 with the first iteration of Newton-Raphson method. Use x0=2.9 as an initial value.
- 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. *)Half Interval Method and Newton-Raphson methodSolve 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.Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)
- could it be solved in gaussians method?Assuming an initial bracket of (-0.5, 0), what is the approximate value of the root of f(x) = 3x + cos2x after two iterations of the false position method? Initial approximation should be counted as one iteration.What is the solution in the 5th iteration using Gauss-Jacobi Method?