Pre-Calc Homework Solutions 373

8 3 f 2 so 8 3 p1x 1 16 p2x p3x x 43 512 x

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: P1(x) 1 16 P2(x) P3(x) (x 4)3 512 x 4 x 4 x 4 2 2 2 (x 8 (x 8 2 2 2 x /4 2)2 2)2 (x 2)3 16 13. (a) Since f is a cubic polynomial, it is its own Taylor polynomial of order 3. P3(x) x 3 2x 4 or 4 2x x 3 (b) f (1) f (1) f (1) x3 3x 2 6x 6 3 x 1 2x 2 4 x 1 3 sin x x 1 1 f (1) 2! f (1) 3! x /4 cos x 6, so 6, so 1) 3 1 1)2 (x 1)3 2 2 /4 f sin x x 2 , so f 4 2 4 4 f (1) P3(x) x 1 2! (x 3(x f 4 2 cos x 2 2 2 2 2 2 2 2 x /4 2 , so 3! 2 12 P0(x) P1(x) P2(x) P3(x) 14. (a) Since f is a cubic polynomial, it is its own Taylor polyno...
View Full Document

This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online