assignment-11

assignment-11 - re i . (a)-2 + 2 i (b) (1-i ) 2 (1+ i 3)...

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MATH 135, Fall 2010 Assignment #11 Not to be handed in Problem 1 . Prove directly that if z = re and w = se , then z w = r s e i ( θ - φ ) . Problem 2 . Express each of the following complex numbers in standard form. (a) 4 e i 5 π/ 3 (b) (1 + i 3) 10 (c) 5 e , where θ = tan - 1 2 Problem 3 . Express each of the following complex numbers in the polar form
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Unformatted text preview: re i . (a)-2 + 2 i (b) (1-i ) 2 (1+ i 3) (c)-3-i Problem 4 . Solve each of the following for z C . Express your answers in the exponential form re i . (a) z 3 + 8 i = 0 (b) z = z-i z +2+ i (c) z 4 = 8 z (d) z 4-3 z 2 + 4 = 0 1...
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This note was uploaded on 07/25/2011 for the course MATH 135 taught by Professor Andrewchilds during the Spring '08 term at Waterloo.

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