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Q1: Use bisection method to find solution accurate to within 10^−4 on the interval [0, 1]...

Q1: Use bisection method to find solution accurate to within 10^−4 on the interval [0, 1] of the function f(x) = x−2^−x

Q3: Find Newton’s formula for f(x) = x^(3) −3x + 1 in [1,3] to calculate x5, if x0 = 1.5. Also, find the rate of convergence of the method.

Q4: Solve the equation e^(−x) −x = 0 by secant method, using x0 = 0 and x1 = 1, accurate to 10^−4.

Q5: Solve the following system using the Newton’s method: 4x^(3) + y = 6 and x^(2)y = 1 using x0 = y0 = 1 and stop when accuracy 10^−2.

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