M135F08AX - - ). (b) Using this result, evaluate 2 + 6 i 3-...

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MATH 135 Fall 2008 Assignment #X Not to be handed in Hand-In Problems None Recommended Problems 1. Text, page 218, #28 2. Text, page 218, #29 3. Text, page 218, #30 4. Text, page 218, #36 5. Text, page 219, #43 6. Text, page 219, #44 7. Text, page 219, #45 8. Convert - 6 + 3 2 i to polar form. 9. Text, page 219, #51 10. (a) Prove directly that if z = r cis ( θ ) and w = s cis ( φ ), then z w = r s cis ( θ
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Unformatted text preview: - ). (b) Using this result, evaluate 2 + 6 i 3- 3 i . Express your answer in polar form. 11. If z, w C , prove that | z + w | 2 + | z-w | 2 = 2 | z | 2 + 2 | w | 2 . 12. Text, page 221, #112 13. Suppose z = x + iy with x, y R . Determine all complex numbers z for which z 2 = 2 z . 14. Text, page 221, #115...
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This note was uploaded on 09/04/2009 for the course MATH 135 taught by Professor Andrewchilds during the Fall '08 term at Waterloo.

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