Use Neville's method to obtain the approximations for Lagrange interpolating polynomials ofdegrees one, two, and three to approximate each ofthe following: a. /(8.4) if/(8.1) = 16.94410, /(8.3) = 17.56492, /(8.6) = 18.50515, /(8.7) = 18.82091 b. / (-T) if /(0.75) = -0.07181250, /(-0.5) = -0.02475000, /(-0.25) = 0.33493750, /(0) = 1.10100000 c. /(0.25) if /(0.1) = 0.62049958, /(0.2) = -0.28398668, /(0.3) = 0.00660095, /(0.4) = 0.24842440 d. /(0.9) if/(0.6) = -0.17694460, /(0.7) = 0.01375227, /(0.8) = 0.22363362, /(1.0) = 0.65809197

L31 - 11 Now You Try It (NYTI): Find a function f for which the limit below represents the area under f on the given interval. Here, we assume the rectangles...