• 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

    Please contact Mr Ong @9863 9633 if your answer is different from what is posted

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