The following data are given: x= [1,3,5,7]; y=[ln (1), ln (3), In (5), ln (7)] 1....

 

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The following data are given: x= [1,3,5,7]; y=[ln (1), ln (3), In (5), ln (7)] 1. a) Write the python program to interpolate the above data using the Newton's divide- difference method. b) Print out the divide difference cofficients. c) Estimate the logarithm of 2. Print out the true value, interpolating value and the true relative error in %. d) Show on a graph the true function ln(x). interpolating polynomial and data points. The following data are given: x= [1,3,5,7]; y=[ln (1), ln (3), In (5), ln (7)] 1. a) Write the python program to interpolate the above data using the Newton's divide- difference method. b) Print out the divide difference cofficients. c) Estimate the logarithm of 2. Print out the true value, interpolating value and the true relative error in %. d) Show on a graph the true function ln(x). interpolating polynomial and data points.