hw1 - 5. Use the Taylor Expansion for ... to find a simple...

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MA 94 F.Brewer Homework #1 Reading: Handout Ref: Churchill, R. V. “Complex Variables and Applications” McGraw Hill 1. Find polar representations for the following complex numbers: a) b) c) d) 2. Find rectangular representations for the following complex numbers: a) b) c) d) 3. Find all 3 roots of , all 5 solutions to: 4. Surprisingly, is real! -- can you find all solutions? Hint:
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Unformatted text preview: 5. Use the Taylor Expansion for ... to find a simple expression for the (Real) value of . i 2 5 i + i 1 2-- i 1 2-- sin cos 3 e 2 i 2 e i e a ib + ( 29 i a i ( 29---------------1 i + 3 z 1 + ( 29 5 1 = i i a b e b a log = Cos z ( 29 1 z 2 2!---- z 4 4!----z 6 6!---- + = Cos i ( 29...
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