For each of the following, make a sketch of all complex numbers in the complex plane which satisfy the given expression.
- .
- .
- .
- .
- .
- .
- The complex numbers such that are a solid disk of radius 1 centered at the origin:
- We have
The plot in the complex plane is a vertical line at ,
- We have
The plot in the complex plane is a horizontal line at .
- We have
The plot is a vertical line at .
- We have
The plot is a horizontal line at .
- We have
The plot is a circle of radius one centered at ,
Sketch the families of level curves of the component functions u and v when
$f (z) = /frac{z-1}{z+1}
I think the last one should say y=+-sqrt(x(2-x))
I agree.