Moderate -0.8 This is a straightforward integration question requiring knowledge of basic integration rules (integrating x^{-1} and a constant) and using a given point to find the constant of integration. It's a standard C2 exercise with routine steps and no problem-solving insight required, making it easier than average.
The gradient of a curve is given by \(\frac{dy}{dx} = \frac{18}{x} + 2\). The curve passes through the point \((3, 6)\). Find the equation of the curve. [5]
Question 2:
2 | kx-2
9x-2
+2x + c
substitution of x = 3 and y = 6 in their
expression following integration
c = 1 | M1*
A1
M1*
M1dep
A1
[5] | may be awarded later
c may appear at substitution stage
on award of either of previous M1s
A0 if spoiled by further working | k ≠ 0
no marks at all for responses based on
“mx + c”
eg 6 = k3−2 + 2×3 + c
for full marks, must see “y =” at some
stage
The gradient of a curve is given by $\frac{dy}{dx} = \frac{18}{x} + 2$. The curve passes through the point $(3, 6)$. Find the equation of the curve. [5]
\hfill \mbox{\textit{OCR MEI C2 Q2 [5]}}