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Please solve no 4 and no 5 4) Derive a 2nd order central difference approximation for x33f by using Taylor series. 5) Find 1st order

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Please solve no 4 and no 5

4) Derive a 2nd order central difference approximation for x33f by using Taylor series. 5) Find 1st order forward difference approximation for x44f by using Taylor series. 6) Given the function f(x)=cos(x) find f(0.25) using 2nd order backward, forward, and central difference methods. Use step sizes of 0.05,0.1, and 0.2. Discuss you results by calculating the error for each computation by %Error=100(AnalyticalvalueNumericalvalueAnalyticalvalue)

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