(a) Find the exponential function of the form g(t) = ae' + be2' that best approximates t2 in the least squares sense based on the sample points 0, 1,2. 3.4.
(b) What is the least squares error?
(c) Compare the graphs on the interval [0,4]- where is the approximation the worst?
(d) How much better can you do by including a constant term in g(t) = ae' + be2' + c?