Question: Find the linear least squares polynomial approximation on the interval [1, 1] for the following functions. a. f (x) = x2 2x + 3

Find the linear least squares polynomial approximation on the interval [−1, 1] for the following functions.
a. f (x) = x2 − 2x + 3
b. f (x) = x3
c. f (x) = 1/(x + 2)
d. f (x) = ex
e. f (x) = 1/2 cos x + 1/3 sin 2x
f. f (x) = ln(x + 2)

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