0606 P23 - Jun 2022 - Q10 - 10 marks
7844
The diagram shows part of the curve \(y=3+2x-x^2\). The point \(A\) on the curve has \(x\)-coordinate \(1.5\). The tangent to the curve at \(A\) meets the \(x\)-axis at \(B\). The curve meets the \(x\)-axis at \(C\). Find the area of the shaded region.
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