Hi. I have the equation x^2 + 4y^2, with the constraint xy=1. (with m being used to indicate theta)
Hence, F(x,y,m)= x^2 + 4y^2 + m(xy-1).
Derivatives:
Fx= 2x + my=0
Fy= 8y+ mx=0
Fm= xy-1=0.
What is the correct way to solve for y and x; I keep getting y= the sq. root of 1/2, but the book says this is wrong.
Many thanks
Jay