CSEC Additional Mathematics · May/June 2009 · Paper 2 · Question 8(i)
A diagram shows part of the curve y = 27 - x². Points P and S lie on this curve. Points Q and R lie on the x-axis and PQRS is a rectangle. The length of OQ is t units.
Find the length of PQ in terms of t and hence show that the area, A square units, of PQRS is given by A = 54t - 2t³.
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