44. The discriminant fufy – fw² is zero at the origin for each of the following functions, so the Second Derivative Test fails there. Determine whether the function has a 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. a. f(x, y) = x²y² c. f(x, y) = xy² e. f(x, y) = x³y³ b. f(x, y) = 1 – x²y² d. f(x, y) = x³y² f. f(x, y) = x*y4

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