Advanced Search

Question: Drawing of a complex plane take 2

Question:Drawing of a complex plane take 2

The function 110 Maple
complex plotting
January 03 2022
1

This was asked before: https://www.mapleprimes.com/questions/233343-Drawing-Of-Complex-Numbers-On-A-Complex-grid-#comment283684

It really showed me what was going on. But now there is something else, that really does not look the like, i tried. But there is nothing that really looks like an answer for the b. question. "Draw the following collection in the complex plane".

There really is no explanation on how to handle the numbers in the |z| part and (z) part of the argument of question a. Also, adding imaginary numbers to the argument en the |z| part is really odd. Do i multiply those numbers with the x and y components in there?  

> 

a.
> 

plots:-inequal([1 <= 2*sqrt(x^2+y^2), 2*sqrt(x^2+y^2) < 2, (1/4)*Pi <= arctan(2*y, 2*x), arctan(2*y, 2*x) < 3*Pi*(1/4)], x = -3 .. 3, y = -3 .. 3, optionsopen = [linestyle = dash, color = red, thickness = 2])

 
> 

b.
> 

plots:-inequal([1 < (4*I)*sqrt(x^2+y^2), (4*I)*sqrt(x^2+y^2) <= 1, (1/2)*Pi <= arctan((2*I)*(y, x)), arctan((2*I)*(y, x)) <= Pi], x = -3 .. 3, y = -3 .. 3, optionsopen = [linestyle = dash, color = red, thickness = 2])

 
> 

``

This really helps out a lot if someone could explain this to me. 

Thank you!

Greetings,

The Function

Download Mapleprimes_Book_2_Question_3.1.mw
Please Wait...