Question

6. Use Matlab to find the point(s) of intersection (if any) between the functions f()10sin(2 5) and g(x)-6r-4, accurate to two decimal places. Write down the Matlab commands to produce the x-vector, the vectors representing the f- and g-values and the plot of the graphs. 7. Use Matlab to find the minimum (accurate to two decimal places) of the function in the interval (0,π).

Answer 1

we are supposed to answer 1 question at a time. This is for 6

x=-2:.0001:2;
f=10*sin(2*x+5);
g=6*x-4;
ind=find(abs(f-g)<.001)
xx=x(ind)

%these are the x values at which the functions intersect
%note that .6308 and .6309 are the same
plot(x,f,x,g,xx,6*xx-4,'*')
grid on
legend('f(x)','g(x)','intersections','Location','Best')

Command Window x-2:.0001:2: Figure 1 >> g-6"X-4; >>ind-find (abs (f-g)<.001) File Edit View nsert Tools Desktop Window Help ind 10 14710 26309 26310 38273 >> xx=x(ind) -0.5291 0.6308 0.6309 1.8272 >> these are the x values at which the functions intersect >> %note that .6308 and .6309 are the same >>plot (x,t,x, g, xx, 6 xx-4, ' >>grid on >> legend ('f (x)'"g(x)','intersections', 'Location',"Best' 1(x) g(x) -5 intersections -10 -15 -20 .2 -1 0.5 0.5