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The gaussian function is de ned byf(x) =e^x^2: (A) Write the barycentric form of the interpolating polynomialp3(x) for the gaussian function onthe interval [1;1] using four evenly spaced tting points. (B) Use MATLAB to plot the gaussian function and thep3(x) you obtained in (A) on the sameaxes. Also plot the error on a separate graph. (C) Use MATLAB to plot a tenth-order interpolating polynomialp10(x) using the barycentric formof the polynomial and eleven evenly spaced tting points on the same axis as the gaussian. Alsoplot the error on a separate graph. (D) Compare and contrast the two interpolating polynomials
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