Question

1+i 1. Write in standard form x+yi. 2. Find the modulus and principal argument of z = 2 + 2/3 i and use it to show z = -218

3. Give geometrical description of the set {z:2z-il 4} 4. Find the principal argument Arg(z) when a) z = -2-21 b) z=(V3 – )6

5. Find three cubic root of i. 6. Show that f(z) = |z|2 is differentiable at the point zo = 0 but not at any other point. 7.

9. Use the real and imaginary parts of f(z) = ez to find the real and imaginary parts of g(z) = ef(2) 10. Let f(z) = 192 find

linear algebra and complex analysis variables


please solve this problem quickly
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Answer #1

due ration lization apti (3+1) 3-1 (3+0) 3 titit 2 - 3+4i-i 3?_02 - 9+1 - pagal (map) Lift i skritt MILO Nies a) 72373831 121147 N Argument = 0 = tan VⓇ etỉy=2=277 z torill 2B) I principal Argument=0 = T/ Hoite 2 in exponestial from 2=2+2838 = 1z16°numer 4) principal argumet. a) za free Due rationtication 23-2+71 (-2-2,0) (-2+21) 2 -2727- 2ter 2 -2 +21 2+2 - z 2011 o 2 4+

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