Use Lagrange Multipliers to Find the Maximum and Minimum Values of f(x,y) = x^3y^5

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Use Lagrange Multipliers to Find the Maximum and Minimum Values of f(x,y) = x^3y^5 constrained to the line x+y=8/5.

To use Lagrange multipliers we always set up the equation grad(f) = L grad(g) then solve the nonlinear system.

The hardest part is generally solving the non linear system. The best thing you can do is try many different problems to get practice.

Thanks for watching! I hope Lagrange multipliers don't seem so intimidating!

-dr. dub

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