Question

Lagrange help:

I have the answers but can someone check it for me?

f(x,y)=x^2y^2
9x^2+4y^2=36

Answer 1

fx(x,y) = 2xy^2
fy(x,y) = 2x^2y

g(x,y) = 9x^2+4y^2 -36
gx(x,y) = 18x
gy(x,y) = 8y

Answer 2

\[2xy ^{2}=\lambda18x\]
\[2x ^{2}y=\lambda8y\]

Answer 3

\[\frac{2xy ^{2}}{18x}, x \neq0\]

Answer 4

and 2x^2y/8y

Answer 5

my question is i dont know if (0,0) or (x,0), (0,y) is a solution

Answer 6

i have y = +-sqrt(4.5) and x = +-sqrt(2)

Answer 7

then i fill that in in f(x,y)

Answer 8

but i dont know if zero is also a solution :S

Answer 9

Okay, what was the question?

Answer 10

Oh

Answer 11

I can't exactly say that I can really help here