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1. Using Newton-Raphson method solve x log10 x = 12.34 with x0 = 10.Answer: x ≈ 11.592. Given the equation: x^4 - x - 10 = 0, determine the initial approximations forfinding the smallest positive root. Use this to find the root correct to threedecimal places using the Secant method.Answer: x ≈ 1.8563. Determine the root of f(x) = x^3 - 10x^2 5 = 0 that lies in (0.6, 0.8) with Brent'smethod.Answer: x ≈ 0.73

1. Using Newton-Raphson method solve x log10 x = 12.34 with x0 = 1…

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