Using the Newton-Raphson method, find an iterative scheme to compute the square root of a positive number. Then find the value of √48 using the same iterative scheme. Find the real root of the equation cos(x^3) - 1. Q.2 Using the iteration method. Q.3 Solve the following system of equations by Gauss elimination method: 21x1 + 0x2 + 2x3 + 1x4 = 2 2x1 + 2x2 + 3x3 + 6x4 = 4 0.4 Solve the following system of equations using the Gauss-Seidel iteration method with partial pivoting: x + 20y = -13 25x + y = -52 8x + 4y = 82
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We want to find the square root of N, so we are looking for a solution to the equation: f(x) = x^2 - N = 0 The Newton-Raphson iterative scheme is given by: x_{n+1} = x_n - f(x_n) / f'(x_n) For our function f(x) = x^2 - N, the derivative f'(x) = 2x. So the Show more…
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