explain why newtons method doesnt work for finding the root of the equation x^3-3x+9=0 if the...
Write a Matlab function for: 1. Root Finding: Calculate the root of the equation f(x)=x^3 −5x^2 +3x−7 Calculate the accuracy of the solution to 1 × 10−10. Find the number of iterations required to achieve this accuracy. Compute the root of the equation with the bisection method. Your program should output the following lines: • Bisection Method: Method converged to root X after Y iterations with a relative error of Z.
Let f(x) = sin(x) + 2xe® Use the secant method for finding the root. Conduct two iterations to estimate the root of the above equation. Let us assume the initial guesses of the root as xo -0.55, X1 0.66 < Answer:
Let f(x) = sin(2) + 2xe Use the secant method for finding the root. Conduct two iterations to estimate the root of the above equation. Let us assume the initial guesses of the root as Xo = -0.55, x1 = 0.66 Answer:
Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the initial approximation. The second approximation is x2 = The third approximation is x3 =
c++ Newton method for iteratively finding the root f(x) = 0. The equation is Where f(x) is the function, f'(x) is the derivative of f9x), Write a C++ program to find root for the function of f(x). The function is on your C++ homework 2 for F(x) = x + 2x -10 You may have two functions, for example, float f(float x) float f=x*x-4; //any function equation return f; float prime(float x) float prime = 2 * x; //derivative of...
numerical method lab A5.2. Write a matlab program to find out the root of equation f (x)-x*-3x - 1, using false-position method. Use initial and upper guesses -1 and 1.5 False Position method: xr-Xu Explanation of False Position f(x)(x-xu) Hints change) xu far-feval (foxr) ; root-0.3294 Xr A5.2. Write a matlab program to find out the root of equation f (x)-x*-3x - 1, using false-position method. Use initial and upper guesses -1 and 1.5 False Position method: xr-Xu Explanation of...
6. (a) Newton's method for approximating a root of an equation f(x) 0 (see Section 3.8) can be adapted to approximating a solution of a system of equations f(x, y) 0 and gx, y) 0. The surfaces z f(x, y) and z g(x, y) intersect in a curve that intersects the xy-plane at the point (r, s), which is the solution of the system. If an initial approxi- mation (xi, yı) is close to this point, then the tangent planes...
O and the initial approximation is X1 2, find the second Suppose the line y = 2x – 1 is tangent to the curve y = f(x) when x = 2. If Newton's method is used to locate a root of the equation f(x) approximation x2: X2 =
Find the equation of the tangent line to the curve f(x)= x2-3x+10 at x=9.
Write the algorithm method for finding the root of the equation f(x)= x^2+4x^2-10=0. Show your iterations to a tolerance of 10^-3 starting with Po=2