Question: Find the linear least squares polynomial approximation to f (x) on the indicated interval if a. f (x) = x2 + 3x + 2, [0,

Find the linear least squares polynomial approximation to f (x) on the indicated interval if
a. f (x) = x2 + 3x + 2, [0, 1];
b. f (x) = x3, [0, 2];
c. f (x) = 1/x, [1, 3];
d. f (x) = ex , [0, 2];
e. f (x) = 1/2 cos x + 1/3 sin 2x, [0, 1];
f. f (x) = x ln x, [1, 3].

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