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(a) Starting from Taylor's theorem, develop 3-points based expressions for the numerical calculation of the second derivative using backward, forward, and central schemes. Include

(a) Starting from Taylor's theorem, develop 3-points based expressions for the numerical calculation of the

(a) Starting from Taylor's theorem, develop 3-points based expressions for the numerical calculation of the second derivative using backward, forward, and central schemes. Include the order of the error for each expression.

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