Let z be a complex number with 2≤|z|≤4. When all possible values of z+1/z are graphed on the complex plane, they form a region R. Compute the area of R.
From a scatterplot it seems to be a circle of radius 4 with a circle of radius 2 removed. That would make the area pi*(4^2 - 2^2), or about 37.6991118430775.
r=rand(1,3000)*2+2; th=rand(1,3000)*2*pi;
x = r.*sin(th ) ;
y = r.*cos(th );
sz = 40;
scatter(x,y,sz,'MarkerEdgeColor',[0 .5 .5],...
'MarkerFaceColor',[0 .7 .7],...
'LineWidth',1.5)
axis square
Edited on December 11, 2024, 11:19 am
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Posted by Charlie
on 2024-12-11 11:17:50 |
proposed solution
