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[10 marks] d). Determine the dimensions of a rectangular box, open at the top, having volume V, and requiring the least amount of material for

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[10 marks] d). Determine the dimensions of a rectangular box, open at the top, having volume V, and requiring the least amount of material for its construction. Use: (1). The constraint to eliminate a variable (Second Partials Test (SPT)). [Verify using Mathematica] (1i). Lagrange multipliers. [Verify using Mathematical] [5 + 5 = 10 marks]

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