- #1
Kork
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Find the maximum and minimum values of f(x,y) = x+2y on the disk
x2+y^2 ≤1
I have this for now:
f_1(x,y) = 1
f_2(x,y) = 2
x=cos(t) and y=sin(t)
I have that g(t) = x(t) + 2*y(t) --> g(t) = cost(t) + 2*sin(t)
g'(t) = 0 = 2*cost-sin(t)
Then I can see that:
2cos(t)/cos(t) -sin(t)/cos(t) = 0/cos(t) --> tan = 2
That is the parameterization, right?
From this point I have no idea what to do.
x2+y^2 ≤1
I have this for now:
f_1(x,y) = 1
f_2(x,y) = 2
x=cos(t) and y=sin(t)
I have that g(t) = x(t) + 2*y(t) --> g(t) = cost(t) + 2*sin(t)
g'(t) = 0 = 2*cost-sin(t)
Then I can see that:
2cos(t)/cos(t) -sin(t)/cos(t) = 0/cos(t) --> tan = 2
That is the parameterization, right?
From this point I have no idea what to do.
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