Mathematic Methods HW Solutions 66

Mathematic Methods HW Solutions 66 - Chapter 14 3.1 3.5 3.9...

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

View Full Document Right Arrow Icon
Chapter 14 66 3.1 1 2 + i 3.2 - (2 + i ) / 3 3.3 0 3.4 iπ/ 2 3.5 - 1 3.6 - 1, - 1 3.7 π (1 - i ) / 8 3.8 i/ 2 3.9 1 3.10 (2 i - 1) e 2 i 3.11 2 πi 3.12 (a) 5 3 (1 + 2 i ) (b) 1 3 (8 i + 13) 3.16 0 3.17 (a) 0 (b) 3.18 3 / 6 3.19 16 3.20 (a) 0 (b) - 17 πi/ 4 3.22 - 3 / 108 3.23 72 3.24 - 17 iπ/ 96 4.3 For 0 < | z | < 1: 1 2 z - 1 + 3 4 + 7 8 z + 15 16 z 2 ··· ; R (0) = 1 2 For 1 < | z | < 2: - ( ··· z - 4 + z - 3 + z - 2 + 1 2 z - 1 + 1 4 + 1 8 z + 1 16 z 2 + 1 32 z 3 ··· ) For | z | > 2: z - 3 + 3 z - 4 + 7 z - 5 + 15 z - 6 ··· 4.4 For 0 < | z | < 1: - 1 4 z - 1 - 1 2 - 11 16 z - 13 16 z 2 ··· ; R (0) = - 1 4 For 1 < | z | < 2: ··· + z - 3 + z - 2 + 3 4 z - 1 + 1 2 + 5 16 z + 3 16 z 2 ··· For | z | > 2: z - 4 + 5 z - 5 + 17 z - 6 + 49 z - 7 ··· 4.5 For 0 < | z | < 2: 1 2 z - 3 - 1 4 z - 2 - 1 8 z - 1 - 1 16 - 1 32 z - 1 64 z 2 ; R (0) = - 1 8 For | z | > 2: z - 3 + z - 4 + 2 z - 5 + 4 z - 6 + 8 z - 7 ··· 4.6 For 0 < | z | < 1: z - 2 - 2 z - 1 + 3 - 4 z + 5 z 2 ··· ; R (0) = - 2
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/29/2012 for the course MHF 2312 taught by Professor Dr.chet during the Fall '11 term at UNF.

Ask a homework question - tutors are online