plot to the function

This is function

when r 0 to 3

when z 0, 0.03, 0.2, 0.5, 1,2

can you help me plot?

do i use vector or for loop or calculate each part and put in matlab?

Answer 1

[KALYAN ACHARJYA]

Hint:

z=[0, 0.03, 0.2, 0.5, 1,2];
r=0:0.01:3;
for i=1:length(z)
eq=..... % Here z(i)
plot(eq); % r vs. eq
hold on;
end

Add legend for z values

https://in.mathworks.com/help/matlab/ref/legend.html

Answer 2

[DGM]

If you're using a relatively new version, this should work. Avoid loops where possible. In this case, you don't need any.

r = linspace(0,3,20); % use a fine vector for this one
z = [0 0.03 0.2 0.5 1 2]'; % salient values, but transposed

% now we are doing elementwise math with row and col vectors
% our solution is now no longer a vector
% each row of f corresponds to one value of z
% note that doing this directly only works in R2016b or newer
% this could otherwise be done using a loop or bsxfun()
f = r.^2.*sqrt(1+(2*z.*r).^2) ./ sqrt((1+r.^2).^2 + (2*z.*r).^2);

clf
h = plot(r,f); grid on

% in order to get the zeta values in the legend automatically
aa=num2cell(z);
tagfun=@(x) sprintf('\\zeta = %2.2f',x)
legend(h,cellfun(tagfun,aa,'UniformOutput',false),'location','northwest')

xlabel('tony the tiger''s favorite letter')
ylabel('cereal consumed')