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9709 P1 - Jun 2006 - Q10
1311

The diagram shows the curve \(y = x^3 - 3x^2 - 9x + k\), where \(k\) is a constant. The curve has a minimum point on the \(x\)-axis.

(i) Find the value of \(k\).

(iv) Find the area of the shaded region.

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