9709 P12 - Nov 2014 - Q4
1119
A curve has equation \(y = \frac{12}{3 - 2x}\).
(i) Find \(\frac{dy}{dx}\).
A point moves along this curve. As the point passes through \(A\), the x-coordinate is increasing at a rate of 0.15 units per second and the y-coordinate is increasing at a rate of 0.4 units per second.
(ii) Find the possible x-coordinates of \(A\).
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