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Mathematic Methods HW Solutions 8

# Mathematic Methods HW Solutions 8 - Chapter 2 14.1 14.3...

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Chapter 2 8 14.1 1 + 14.2 - iπ/ 2 or 3 πi/ 2 14.3 Ln 2 + iπ/ 6 14.4 (1 / 2) Ln2 + 3 πi/ 4 14.5 Ln 2 + 5 iπ/ 4 14.6 - iπ/ 4 or 7 πi/ 4 14.7 iπ/ 2 14.8 - 1, (1 ± i 3) / 2 14.9 e - π 14.10 e - π 2 / 4 14.11 cos(Ln 2) + i sin(Ln 2) = 0 . 769 + 0 . 639 i 14.12 - ie - π/ 2 14.13 1 /e 14.14 2 e - π/ 2 [ i cos(Ln 2) - sin(Ln 2)] = 0 . 3198 i - 0 . 2657 14.15 e - π sinh 1 = 0 . 0249 14.16 e - π/ 3 = 0 . 351 14.17 2 e - 3 π/ 4 e i (Ln 2 +3 π/ 4) = - 0 . 121 + 0 . 057 i 14.18 - 1 14.19 - 5 / 4 14.20 1 14.21 - 1 14.22 - 1 / 2 14.23 e π/ 2 = 4 . 81 15.1 π/ 2 + 2 ± i Ln ( 2 + 3 ) = π/ 2 + 2 ± 1 . 317 i 15.2 π/ 2 + + ( i Ln3) / 2 15.3 i ( ± π/ 3 + 2 ) 15.4 i (2 + π/ 6), i (2 + 5 π/ 6) 15.5 ± b π/ 2 + 2 - i Ln ( 3 + 8 )B = ± [ π/ 2 + 2 - 1 . 76 i ] 15.6 i ( - π/ 4) 15.7 π/ 2 + - i Ln( 2 - 1) = π/ 2 + + 0 . 881 i 15.8 π/ 2 + 2 ± i Ln 3 15.9 i ( π/ 3 + ) 15.10 2 ± i Ln 2 15.11 i (2 + π/ 4), i (2 + 3 π/ 4) 15.12 i (2 ± π/ 6) 15.13 i ( π + 2 ) 15.14 2 + i Ln 2, (2 n + 1) π - i Ln 2 15.15 + 3 π/ 8 + i Ln 2) / 4 15.16 (Ln 2) / 4 + i ( + 5 π/ 8) 16.2 Motion around circle | z | = 5; v = 5 ω , a = 5 ω 2 . 16.3 Motion around circle
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