Moderate -0.8 This is a straightforward integration question requiring the reverse of differentiation of a power function, followed by using a given point to find the constant of integration. It's a standard C2 exercise with routine techniques and no problem-solving insight required, making it easier than average.
Question 8:
8 | attempt to integrate 3 x − 5
3
[y=] 2x2 −5x+c
subst of (4, 6) in their integrated eqn
3
c = 10 or [y=] 2x2 −5x+10 | M1
A2
M1
A1 | A1 for two terms correct | 5
The gradient of a curve is $3\sqrt{x} - 5$. The curve passes through the point $(4, 6)$. Find the equation of the curve. [5]
\hfill \mbox{\textit{OCR MEI C2 Q8 [5]}}