Question: Find the maximum area, Amax,ofan isoceles triangle with perimeterP=12 using Lagrangian multipliers. Let xbe the length of one edge of the triangle and ybe the

Find the maximum area, Amax,ofan isoceles triangle with perimeterP=12 using Lagrangian multipliers. Let xbe the length of one edge of the triangle and ybe the length of the other two edges. Draw the level sets of: A=Amax-1,A=Amax,A=Amax+1 and P=12in the x,y plane.

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