(i)[3]
Show that $a = 8$
(ii)[4]
Find the equation of the curve
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
Consider a curve for which $\frac{dy}{dx} = \frac{12}{\sqrt{4x + a}}$, where $a$ is constant. Point $P(2, 14)$ lies on the curve, and the normal at $P$ has equation $3y + x = 5$.