9709 P12 - Nov 2025 - Q4 - 6 marks
9652
A curve has \[\frac{dy}{dx}=kx^3+\frac2{x^2}.\] It passes through \(S(2,20)\), where its gradient is \(65/2\).
(a) Find \(k\). [1]
(b) The point \(T(1,t)\) lies on the curve. Find \(t\). [5]
