Numerical Analysis, Fall 2000
Homework 1
Due September 13, 2000
Section 1.1 Computer can only be used on #16 and #17.
1a
8
9 (Show all work for finding P2 and R2)
16(Similar to 9 but use Maple or similar software.) On the b part, find the max(f4(x)) on [0,1] by solving f5(x) =0 (via software) for a root say c. Then compare f4(0) with f4(1) with f4(c). The bound for the error is max(f4(x))1^4/4!
17