Question: 13. [15 marks] Find all the stationary points ofthe function f(x,y) = x237 2x312 + 3363/ + 4, and state the nature of each of

13. [15 marks] Find all the stationary points ofthe function f(x,y) = x237 2x312 + 3363/ + 4, and state the nature of each of them using the Hessian. 14. [15 marks] A restaurant is planning to make an aquarium out of glass [with no top]. It should contain a fixed volume of 5 m3 of water to house large sh. Glass costs $5 per m2. Find the dimensions of the aquarium that minimize the costs and show that it is in fact the minimum cost. Use 4 decimal places in your answers

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