9709 P12 - Jun 2021 - Q11
1224
The gradient of a curve is given by \(\frac{dy}{dx} = 6(3x-5)^3 - kx^2\), where \(k\) is a constant. The curve has a stationary point at \((2, -3.5)\).
(a) Find the value of \(k\).
(b) Find the equation of the curve.
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