Moderate -0.8 This is a straightforward integration question requiring application of the power rule and use of a boundary condition to find the constant. It's a standard C2 exercise with routine techniques and no problem-solving insight needed, making it easier than average but not trivial since it requires correct execution of multiple steps.
The gradient of a curve is given by \(\frac{dy}{dx} = 6x^{\frac{1}{2}} - 5\). Given also that the curve passes through the point \((4, 20)\), find the equation of the curve. [5]
The gradient of a curve is given by $\frac{dy}{dx} = 6x^{\frac{1}{2}} - 5$. Given also that the curve passes through the point $(4, 20)$, find the equation of the curve. [5]
\hfill \mbox{\textit{OCR MEI C2 Q3 [5]}}