- #1
arl146
- 343
- 1
Homework Statement
Use Lagange Multipliers to find the max and min values of the function subject to the given constraint(s). f(x,y)=exp(xy) ; constraint: x^3 + y^3 = 16
Homework Equations
[itex]\nabla[/itex]f = [itex]\nabla[/itex]g * [itex]\lambda[/itex]
fx = gx * [itex]\lambda[/itex]
fy = gy * [itex]\lambda[/itex]
The Attempt at a Solution
Set the fx and fy eqns equal to 0. but i can't solve for x, y, and lambda... i guess my algebra isn't that strong
i got fx = [itex]\lambda[/itex] * gx
y*exy = 3x2[itex]\lambda[/itex]
and for y:
x*exy = 3y2[itex]\lambda[/itex]
and g(x,y) = x3 + y3 = 16