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4. (a) For the function f(x)=ln(x+2) over the interval from 1 to +1, perform a Newton polynomial interpolation of evenly spaced intervals, and also one

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4. (a) For the function f(x)=ln(x+2) over the interval from 1 to +1, perform a Newton polynomial interpolation of evenly spaced intervals, and also one of Chebyshev spacing. Both of these interpolating polynomials should be 5 th degree. (b) Calculate the maximum deviation from the function in each case, and plot the deviation of each function multiplied by a factor of 1000 as well as the derived polynomials. (c) Calculate the error for each of these polynomials at the point x=0.85 and express it as a percentage of the true value

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