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(a) Given f(:c, y) = m3 y3 2mg + 6 determine 8f 8f 02f 82fand82f 311:, 33;, 32:33:, 8:172 3y? [5 marks] (b) Use the

(a) Given f(:c, y) = m3 y3 2mg + 6 determine 8f 8f 02f 82fand82f 311:, 33;, 32:33:, 8:172 3y? [5 marks] (b) Use the results from (a) to calculate all critical points for f(a:, y) and the nature of each point found. [5 marks] [Total: 10 marks]

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