Mathematic Methods HW Solutions 9

Mathematic Methods HW Solutions 9 - Chapter 2 9 √ 17.1...

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Unformatted text preview: Chapter 2 9 √ 17.1 −1 √ 17.2 ( 3 + i)/2 17.3 r = 2, θ = 45◦ + 72◦ n : 1 + i, −0.642 + 1.260i, −1.397 − 0.221i, −0.221 − 1.397i, 1.260 − 0.642i 17.4 i cosh 1 = 1.54i 17.5 i 2 2 2 17.6 −e−π = −5.17 × 10−5 or −e−π · e±2nπ 17.7 eπ/2 = 4.81 or eπ/2 · e±2nπ 17.8 √1 − 17.9 π/2 ± 2nπ 2 17.11 i 17.10 3 − √ 17.13 x = 0, y = 4 17.12 −1 ± 2 17.14 Circle with center (0, 2), radius 1 17.15 |z | < 1/e 17.16 y < −2 2 17.26 1 17.27 (c) e−2(x−t) 2 √ a2 + b 2 sinh2 b 17.29 −1 ± i 3 /2 17.28 1 + 2ab ∞ xn 2n/2 cos nπ/4 17.30 ex cos x = n! n=0 ex sin x = ∞ xn 2n/2 sin nπ/4 n! n=0 ...
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