Ifz = a+ib is a complex number, it is customary to call the component a the...

 

Transcribed Image Text:

Ifz = a+ib is a complex number, it is customary to call the component a the real part of z and to call b the imaginary part of z and denote these components by Re(z), and Im(z) respectively. The subsets of complex numbers below represent the graph of a curve. In each case, what is the curve? S={ze C: z = 2Re(z)+1) S={zEC: ||z|| Im(z) + 2) = S= S = {z C || ||- -| Re(z) = 2 Ifz = a+ib is a complex number, it is customary to call the component a the real part of z and to call b the imaginary part of z and denote these components by Re(z), and Im(z) respectively. The subsets of complex numbers below represent the graph of a curve. In each case, what is the curve? S={ze C: z = 2Re(z)+1) S={zEC: ||z|| Im(z) + 2) = S= S = {z C || ||- -| Re(z) = 2