Question: Use the Laguerre polynomials calculated in Exercise 11 to compute the least squares polynomials of degree one, two, and three on the interval (0,) with

Use the Laguerre polynomials calculated in Exercise 11 to compute the least squares polynomials of degree one, two, and three on the interval (0,∞) with respect to the weight function w(x) = e−x for the following functions:
a. f (x) = x2
b. f (x) = e−x
c. f (x) = x3
d. f (x) = e−2x

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