Unformatted text preview: 2 + i 3-i . (10) Find the angle between 0 and 2 π that is an argument of (1-i ) 1999 . (11) Find all z such that e iz = 3 i . (12) Write (1-i ) 100 as a + ib with a and b real numbers and simplify your answer. (13) Find the real part of e (5+12 i ) x where x is real, and simplify your answer. (14) Find all solutions to z 6 = 8 and plot them in the complex plane. (15) Evaluate ∞ X n =0 sin nθ n ! . (16) For what θ does ∞ X n =0 cos nθ 2 n converge? If it converges, what does it converge to? 1...
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- Fall '07
- Complex Numbers, Complex number, cartesian form