Moderate -0.8 This is a straightforward integration question requiring only the power rule (rewriting √x as x^{1/2}, integrating to get 4x^{3/2} + c) and substituting a point to find the constant. It's a standard C2 exercise with no problem-solving required, making it easier than average but not trivial since students must handle fractional powers correctly.
Question 9:
9 | [y =] kx3/2 [+ c]
k = 4
subst of (9, 105) in their eqn with c
or c = −3 | M1
A1
M1
A1 | may appear at any stage
must have c; must have attempted
integration | 4
A curve has gradient given by $\frac{dy}{dx} = 6\sqrt{x}$. Find the equation of the curve, given that it passes through the point $(9, 105)$. [4]
\hfill \mbox{\textit{OCR MEI C2 Q9 [4]}}