Year 12 Methods (Unit 3 & 4)
The second derivative and applications
Optimisation problems
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Question 1
10264
A box is made from an 8\(~\text{cm}\) by 4\(~\text{cm}\) rectangle of cardboard by cutting out a square of side \(x~\text{cm}\) from each corner and turning up the edges. Show that the volume of the box is \(V = 4x^3 - 24x^2 + 32x\).
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