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Academics – Mathematics : 2012/MAR/07
Question

Q7. (a) Fig Q7(a) shows a rectangular sheet of metal with four identical holes drilled in it.

The length of the rectangle is 400 mm and its width is 30x mm.

Each hole has a diameter of 20x mm.

(i) Show that the remaining area, A, is given by . (3)

(ii) Calculate the value of x such that the remaining area, A, is a maximum. (7)

(b) Given : Determine the value of (6)

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