• # 2016 A-level H2 Mathematics (9740) Paper 1 Suggested Answers

2016 A-level H2 Mathematics (9740) Paper 1 Suggested Answers

Question 1: $x \textless -2, \text{~or~} \frac{1}{3} \textless x \textless 4$
Question 2: $0, -\text{ln}2;~ y=2, y = -x\text{ln}2 + \frac{\pi \text{ln}2}{2} + 1;~ (\frac{\pi}{2} - \frac{1}{\text{ln}2}, 2)$
Question 3: $m = b,~ l = a, ~ kl^4 + m = c$
Question 4: $0.74;~ b(0.26^{n-1})$
Question 5: $\begin{pmatrix}{2b}\\{4b-4a}\\{-2a}\end{pmatrix};~ \pm \frac{1}{6\sqrt{2}};~ 3$
Question 6: $4,~ 14,~ 44;~ \frac{1}{4}n(n+1)(n^2+n+2)+2$
Question 7: $2+3i;~ a=3,~ k=-30$
Question 8: $f(x)=1+2ax+2a^2x^2+\frac{8}{3}a^3x^3 ;~ \text{tan}2x = 2x + \frac{8}{3}x^3$
Question 9: $y = 5-5e^{-2t}; x = 5t + \frac{5}{2}e^{-2t} - \frac{5}{2};~ x = 5t^2 + 20\text{sin}\frac{t}{2}-10t;~ 1.47s,~ 1.05s$
Question 10: $f^{-1}(x) = (x-1)^2, x \in \mathbb{R}, x \ge 1;~ x = 2.62;~6,~ 8,~ 9;~\text{No}$
Question 11: $t = -\frac{5}{9},~ \lambda = -\frac{8}{9}, ~ \mu = \frac{19}{18};~ -2x+y +2z=35 \text{~or~} -2x+y+2z = -37$