#Calc 3

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forest creek
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I'm completely lost.

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glossy cargoBOT
viral oriole
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try to find the critical point of the curve, i.e. centre of conic

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and check it for domain if it is applicable

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then that critical point with give you either max or min

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if its negative, its minima, since at origin, f = 0

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if its positive, it should be maxima

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next assume x,y as points on the given circle

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as parametric point, and then put them in th curve, then find the critical points of it

hushed ore
hushed ore
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hint: ||

  1. observe the symmetry between x and y in the feasible region. use an appropriate substitution to transform the objective function, such that it also demonstrate such symmetry
  2. use some elementary inequalities (often seen in #competition-math) to get the absolute maximum||
hushed ore
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hint for part 1:
||1. find the eigenvectors of the matrix of the bilinear form. you'll realize that those eigenvectors form an orthonormal basis for the plane

  1. write this bilinear form with respect to this orthonormal basis of eigenvectors
  2. complete the square||
forest creek
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