Hi everyone!
I've been stuck on this one for some hours now (about 5 hours to be honest) and I just can't solve it. It is actually a "find min. and max. points"-question but I've come so far that I just have to solve for the Lagrange multiplier and the three equations that I have are:
4y2-2x = 2*lambda*x
8*xy = 2*lambda*y
x2+y2=1
I need to solve for x and y and x has to be greater than zero.
I have to do this by hand and I really hope that some of you smart people can figure this out! the result should be three points.
Thanks in advance, I appreciate every help I can get!
EDIT: the function that I've initially been given is 4xy2-x2 and it is in the domain of R2 with the restriction: x2+y<=1, x>=0
I've been stuck on this one for some hours now (about 5 hours to be honest) and I just can't solve it. It is actually a "find min. and max. points"-question but I've come so far that I just have to solve for the Lagrange multiplier and the three equations that I have are:
4y2-2x = 2*lambda*x
8*xy = 2*lambda*y
x2+y2=1
I need to solve for x and y and x has to be greater than zero.
I have to do this by hand and I really hope that some of you smart people can figure this out! the result should be three points.
Thanks in advance, I appreciate every help I can get!
EDIT: the function that I've initially been given is 4xy2-x2 and it is in the domain of R2 with the restriction: x2+y<=1, x>=0
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