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QUESTION 6 13 points Save Answer From the Newton's Interpolation function, approximate diffusion of the stress concentration dS(e)/de using Forward, Backward and Centered Finite Divided

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QUESTION 6 13 points Save Answer From the Newton's Interpolation function, approximate diffusion of the stress concentration dS(e)/de using Forward, Backward and Centered Finite Divided Difference (truncated) at ej = 3cm using the step sizes h1 = 0.125 & h2 = 0.0625 and then improve the derivative estimate for the centered finite divided difference using Richardson's Extrapolation. (Use 5 decimal places) h 0.125 h 0.0625 f(xi) f(xi) f(xi+1) f( xi+1) f(xi-1) f(xi-1) f(xi)(FDD) f'(xi)(FDD) f(xi)(BDD) f(xi)(BDD) f'(xi)(CDD) f'(xi)(CDD) Richardson's Extrapolation f(a) =

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