a) Solve the following system of equations using Gauss Seidel method: 2x 7y 10z = 17 5x + y + 3z = 14 x + 10y + 9z = 7 b) Write an expansion of Taylor's Theorem. Solve the equation: y'(x) = x^2 +…

a) Solve the following system of equations using Gauss-Seidel method: 2x - 7y - 10z = -17 5x + y + 3z = 14 x + 10y + 9z = 7 b) Write an expansion of Taylor's Theorem. Solve the equation: $y^{'} (x) = x^{2} + y^{2}, y (0) = 1$ for $x = 0.5$ using Taylor method.

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