MATH 5667-001 & C SC 5676-001: Introduction to Approximation,
UC Denver, Fall 98
Final Test

1. Find the best uniform polynomial approximation of order 3 for the function + cos x on [0,13].
2. Find the Chebyshev polynomial of order 2 on the interval [0,2].
3. Compute the first three orthogonal polynomials on [-2,0].
4. Find the best least-squares polynomial approximation of order 2 for the function on [-2,0] using orthogonal polynomials of the previous problem.