Question #1884

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.
1. f(x) = cos x
2. f(x) = sqaureroot(1 + x)
3. f(x) = ln(x + 1)
You should write an .m file which computes the Lagrange multipliers, and use it
in your main .m file which approximates the function values.
To Be Handed In: You should hand in all of your (original) code, the approximated
value, and the error. It would be nice if the results were presented
coherently. By that I mean do not just directly copy and paste the command
window, but create a proper presentation of results.

Expert's answer

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