Question: (a) Use the polynomials and weighted norm from Exercise 5.4.12 to find the quadratic least squares approximation to f(t) = 1/r. In what sense is

(a) Use the polynomials and weighted norm from Exercise 5.4.12 to find the quadratic least squares approximation to f(t) = 1/r. In what sense is your quadratic approximation "best"?
(b) Now find the best approximating cubic polynomial.
(c) Compare the graphs of the quadratic and cubic approximants with the original function and discuss what you observe.

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