Find the local maximum and minimum values and saddle point(s) of the function. I

Question

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x, y) = 4e^y(y^2 ? x^2) The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs three times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answer in terms of V.) Please answer these!

Explanation / Answer

FOLLOWTHIS First compute the partial derivatives. f_x = 6x

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