The first U.S. postage stamp was issued in 1885, with the cost to mail a letter set at 2 cents. In 1917, the cost was raised to 3 cents but then was returned to 2 cents in 1919 The record of price changes can be found on Wikipedia: https://en.wikipedia.org/wiki/History of United States postage rates) (a) Determine the Newton interpolation polynomial for these data; (b) Determine the not-a-knot cubic spline for these data; (c) Considering only the data up to 2016, predict when will it cost 50 cents to mail a letter using both types of interpolation (Newton and spline). Compare with the actual record for 2017 and 2018. Explain the results. The first U.S. postage stamp was issued in 1885, with the cost to mail a letter set at 2 cents. In 1917, the cost was raised to 3 cents but then was returned to 2 cents in 1919 The record of price changes can be found on Wikipedia: https://en.wikipedia.org/wiki/History of United States postage rates) (a) Determine the Newton interpolation polynomial for these data; (b) Determine the not-a-knot cubic spline for these data; (c) Considering only the data up to 2016, predict when will it cost 50 cents to mail a letter using both types of interpolation (Newton and spline). Compare with the actual record for 2017 and 2018. Explain the results