AQA C2 June 2014 Unofficial Mark Scheme

[br]\begin{enumerate}[br]\item[br]\begin{enumerate}[br]\item Area of triangle = 22cm^2 \hfill \textbf{\underline{[2]}} \\[br]\item Length of BC = 9.3cm \hfill \textbf{\underline{[3]}} \\[br]\end{enumerate}[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{1}[br]\item[br]\begin{enumerate}[br]\item x + 2x^\text{1.5}+ \dfrac{2}{5} x^\text{2.5} + C \hfill \textbf{\underline{[3]}} \\[br]\item[br]\begin{enumerate}[br]\item n = 3 \hfill \textbf{\underline{[1]}} \\[br]\item 1+3x^\text{0.5} + 3x + x^\text{1.5} \hfill \textbf{\underline{[1]}} \\[br]\end{enumerate}[br]\item Area under curve = \dfrac{49}{10} \hfill \textbf{\underline{[3]}} \\[br]\end{enumerate}[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{2}[br]\item[br]\begin{enumerate}[br]\item S_\infty = 486 \hfill \textbf{\underline{[2]}} \\[br]\item U_2 = 48 \hfill \textbf{\underline{[1]}} \\[br]\item U_\text{12} = \dfrac{2^\text{34}}{3^\text{19}} \hfill \textbf{\underline{[3]}} \\[br]\end{enumerate}[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{3}[br]\item[br]\begin{enumerate}[br]\item f'(x) = -2x^\text{-3} + 4 \hfill \textbf{\underline{[3]}} \\[br]\item Equation of normal: y+3 = \dfrac{-1}{6} (x+1) \hfill \textbf{\underline{[3]}} \\[br]\item Equation of tangent: y-6 = -12(x -\dfrac{1}{2}) \hfill \textbf{\underline{[5]}} \\[br]\end{enumerate}[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{4}[br]\item r = 6cm \hfill \textbf{\underline{[6]}} \\[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{5}[br]\item[br]\begin{enumerate}[br]\item Sketch y = sinx \hfill \textbf{\underline{[2]}} \\[br]\item Stretch in x-direction with s.f. \dfrac{1}{5} \hfill \textbf{\underline{[2]}} \\[br]\item Translation [\dfrac{-2^\circ}{0}] \hfill \textbf{\underline{[2]}} \\[br]\end{enumerate}[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{6}[br]\item[br]\begin{enumerate}[br]\item Prove tan^2(x) = \dfrac{3}{2} \hfill \textbf{\underline{[3]}} \\[br]\item \theta = 25^\circ , 65^\circ , 115^\circ , 155^\circ \hfill \textbf{\underline{[4]}} \\[br]\end{enumerate}[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{7}[br]\item[br]\begin{enumerate}[br]\item Show a + 2d = 115 \hfill \textbf{\underline{[3]}} \\[br]\item d = -4 \hfill \textbf{\underline{[3]}} \\[br]\item k = 31, S_\text{31} = 1953 \hfill \textbf{\underline{[5]}} \\[br]\end{enumerate}[br]\end{enumerate}[br]

[br]\begin{enumerate}[br]\setcounter{enumi}{8}[br]\item[br]\begin{enumerate}[br]\item k = 0.279 \hfill \textbf{\underline{[3]}} \\[br]\item 55 \hfill \textbf{\underline{[4]}} \\[br]\item p = \dfrac{-1}{4} \hfill \textbf{\underline{[3]}} \\[br]\item q = 3 \hfill \textbf{\underline{[5]}} \\[br]