Question

80²+(1-9)0 - qx = 0 q = 0:0.01:2 (0 > 2 with steps of 0.01] X = 0,5,8,12 8 -0.05, 0.1,0.15 Plot a curve for ous q for all possible (12) combinations of X and 8 using MATLAB

hint : solve the cubic equation for theta and then plot the graph of theta vs q for all combinations of gamma and alpha.

Answer 1

clear all
close all
clc
alpha=[0,5,8,12];
gamma=[0.05,0.1,0.15];
q=[0:0.01:2];

for i=1:3
gam=gamma(i);
for j=1:4
alph=alpha(j);
th=[];
for k=1:length(q)
theta=roots([gam 0 (1-q(k)) -q(k)*alph]); % solving the polynomial
th=[th theta];
end
st1=[num2str(gam)];
st2=[num2str(alph)];
figure
plot(th,q)
title(sprintf('theta vs q for gamma= %s alpha= %s',st1,st2))
xlabel('theta')
ylabel('q')
end

end

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