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.
(In reply to
re: proposed solution by Jer)
Indeed, the below agrees with your comment:
r=rand(1,3000)*2+2; th=rand(1,3000)*2*pi;
z=r.*cos(th) + 1i*r.*sin(th);
x=real(z+1./z);y=imag(z+1./z);
sz = 40; axis square;
scatter(x,y,sz,'MarkerEdgeColor',[0 .5 .5],...
'MarkerFaceColor',[0 .7 .7],...
'LineWidth',1.5)
grid
Edited on December 11, 2024, 3:38 pm
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Posted by Charlie
on 2024-12-11 15:36:00 |
re(2): proposed solution
