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1. Suppose z = 1+ i, calculations, explain why 2. What can be said about the complex number z if z= Z f (2)

1. Suppose z = 1+i, calculations, explain why 2. What can be said about the complex number z if z = Z? f (2)

1. Suppose z = 1+ i, calculations, explain why 2. What can be said about the complex number z if z= Z f (2) = (z) 3. Student A states that, even though she can't find it in the text, she thinks that argz) = -arg(z). For example, she says, if z=1-i then arg(z) = can take TT W= 4 your position. Z Z. Without doing any |w=1. and and arg(z) argi) #-arg(-i) disagrees because he feels that he has a - counter example: if Z=i andz=-i TT arg() = and arg(-i) = - 2 2 4 . Student B 3t we and so . Take sides and defend

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