9709 P1 - Jun 2002 - Q9
1406
A curve is such that \(\frac{dy}{dx} = \frac{12}{(2x+1)^2}\) and \(P(1, 5)\) is a point on the curve.
(i) The normal to the curve at \(P\) crosses the x-axis at \(Q\). Find the coordinates of \(Q\).
(ii) Find the equation of the curve.
(iii) A point is moving along the curve in such a way that the \(x\)-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the \(y\)-coordinate when \(x = 1\).
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