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How do you sketch the followings? |z-(3+2i)| + |z-(-3+3i)| = 7 Im((z-1+4i)^2)=1 arg[(z-z0)/(z1-z0)]=0 where z0 = -4-3i and z1 = -2+4i |Re(z)|<4 and |Im(z)|<4 |Re(z)|>1 and |Im(z)|>1

z= 3+2i 1. Plot z in the complex plane 2. plot kz in the complex plane for k = 0, 1, 2, 3 3. Describe in words the set [kz : k∈ℤ] 4. Plot kz in the complex plane for all k∈ [-3, 3] 5. Describe in words the set {kz : k∈ℝ] 6. What would the set of numbers of the form kz look like, if k...

z= 3+2i 1. Plot z in the complex plane 2. plot kz in the complex plane for k = 0, 1, 2, 3 3. Describe in words the set [kz : k∈ℤ] 4. Plot kz in the complex plane for all k∈ [-3, 3] 5. Describe in words the set {kz : k∈ℝ] 6. What would the set of numbers of the form kz look like, if k was...