Sideways parabola beside the y-axis

Sideways parabola beside the y-axis

Secondary 4
4 marks
Original parallel to supplied A Math Applications of Integration references

The curve \((y-4)^2=3x\) touches the \(y\)-axis at \(P(0,\ 4)\). The line \(y=1\) meets the curve at \(Q\).

Find the area of the shaded region bounded by the curve, the \(y\)-axis and the line \(y=1\).[4]

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Answer:\(3\text{ units}^2\)

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