Find the maxium andd minimum values of the following functions by using Lagrange Multiplier. a)f(x;y)=81x^2+y^2subject to the constrait 4x^2+y^2 =9 b)f(x;y)=8x^2-2y subject to the constrait x^2+y^2 =1

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.