1. Suppose z = 1+ i, calculations, explain why 2. What can be said about the...

Transcribed Image Text:

1. Suppose z = 1+ i, calculations, explain why 2. What can be said about the complex number z if z= Z₂ ₁f (2)² = (z)² 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 π 4 . Student B 3πt we and so . Take sides and defend 1. Suppose z = 1+ i, calculations, explain why 2. What can be said about the complex number z if z= Z₂ ₁f (2)² = (z)² 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 π 4 . Student B 3πt we and so . Take sides and defend