Question 9
A curve is such that $\dfrac{dy}{dx} = 3x^2 + 10x - 8$.
**(b)** (In part (a) you found that $y$ decreases for $-4 \lt x \lt \frac{2}{3}$.)
It is given that the maximum point of the curve has $y$-coordinate 27.
Find the equation of the curve.
**(b)** (In part (a) you found that $y$ decreases for $-4 \lt x \lt \frac{2}{3}$.)
It is given that the maximum point of the curve has $y$-coordinate 27.
Find the equation of the curve.
