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Find an absolute max for the function f(x,y)=xy defined on the region D={(x,y)/ x^2/16+y^2<=1}. Do this...

Find an absolute max for the function f(x,y)=xy defined on the region D={(x,y)/ x^2/16+y^2<=1}.

Do this problem two ways:

first by finding the critical point(s) and parametrizing boundary

and then, by using Lagrange multipliers.

State what you learned about the Lagrange method from having these two sets of solutions.

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