span style="font-family: 'courier new', courier; font-size: medium;" data-mce-style="font-family: 'courier new', courier; font-size: medium;">The discriminant fxxfyy-fxy^2is...

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span style="font-family: 'courier new', courier; font-size: medium;" data-mce-style="font-family: 'courier new', courier; font-size: medium;">The discriminant fxxfyy-fxy^2is zero at the origin for each of the following functions, so the Second Derivative Test fails there. Determine whether the function hasa maximum, a minimum, or neither at the origin by imagining what the surface z - f{x, y) looks like. Describe your reasoning in each case.
af{x,y)=x^2y^2 b f{x.y)=1- x^2y^2cf{x.y)= xy^2df{x.y)= x^3y^2e

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