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For the given functions f (x), let x0 = 0, x1 = 0.6, and x2 = 0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f (0.45), and find the absolute error.
a. f (x) = cos x
b. f (x) = √1 + x
c. f (x) = ln(x + 1)
d. f (x) = tan x |
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