MATH2107-polarcoordinate-exercises0(2)

MATH2107-polarcoordinate-exercises0(2) - 2 iii. x = 1 (b)...

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MATH 2107 B Complex Numbers Exercises Winter 2008 1 1. Write the following in polar coordinate representation. (a) z = 3 2 + i 2 (b) z = 1 2 - i 2 (c) z = - 1 2 + i 3 2 (d) z = i (e) z = - 4 (f) z = - i (g) z = - 3 - i 2. Write z 2 , z 12 , z 100 , z n in the form a + bi for each of the complex numbers in 1(a)-(g). 3. (a) Find the polar coordinate representation for i. z = - 1 2 + i 3 2 ii. w = - 1 2 - i 3
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Unformatted text preview: 2 iii. x = 1 (b) Graph z, w, x on the same graph. What do you notice about z, w, x from the graph? (c) What is the product zwx ? (d) What are the roots of z 3-1 = 0? (e) Can you make an conclusions about the roots of z n-1 = 0 where n is a positive integer?...
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This note was uploaded on 05/26/2010 for the course MATH Math2107 taught by Professor Lanihaque during the Fall '10 term at Carleton.

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