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Problem-1: Determine the value of f' (x), at x = 0.8, if f(x) = cos(x) using the central difference scheme, with step sizes h 0.1,

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Problem-1: Determine the value of f' (x), at x = 0.8, if f(x) = cos(x) using the central difference scheme, with step sizes h 0.1, 0.01, 0.001, and 0.0001 using a calculator. Also, determine the relative error (ie. expressed as a percentage) for each value of h from the exact values of the first derivative of f(x). Use nine decimal places in all the calculations. 15 Point.s

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