Question: Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. You need to construct

Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 325 cm?. The material for the base of the box costs 6 cents/cm? and the material for the sides of the box costs 5 cents/cm?. Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. e Use the method of Lagrange multipliers to solve optimization problems with one constraint. Find the absolute maximum and minimum of f(x,y) = 2z + 5y within the domain 2+ y2

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