Using (14), find f(1.25) by linear, by linear, quadratic, and cubic interpolation of the data (values of (40) in App. A31); 6S value and si(1.25) = 1.14645) f(1.0) = 0.94608, f(1.5) = 1.32468, f(2.0) = 1.60541, f(2.5) = 1.77852, and compute the errors. For the linear interpolation use f(1.0) and f(1.5), for the quadratic f(1.0), f(1.5), f(2.0), etc.