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HKDSE-M2 - 2020 -
2020-M2-04
Ans: (a) $\dfrac{\theta}{2} – \dfrac{\sin 2\theta
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2020
2020-M2-07
Ans: (a) $y=-x^2+8x-5$ (b) (i) $(7,2)$ (ii) $x-6y+5=0$
$\b
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2020
2020-M2-09
Ans: (a) $y=x+20$, $x=4$ (b) $\dfrac{384}{(x-4)^3} +\dfr
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2020
2021-M2-06
Ans: (a) $5$ (b) $\dfrac{e^4-3}{2}$
This is out of syllabus
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2021
2021-M2-07
Ans: (a) $x(\ln x)^2 -2x \ln x +2x +C$ (b) $\pi[(\ln 2)^2-2\l
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2021
2021-M2-09
Ans: (a) (i) $\sec \theta$ (ii) $\ln( \sec\theta +\tan \the
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2021
2022-M2-06
Ans: (b) Yes
Let $I=\dint \dfrac{1}{x^2+2x+5}dx$.
$\begi
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2022
2022-M2-07
Ans: (b) $\dfrac{-\ln 3}{294}$
Consider the slope of $L$,
$
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2022
2022-M2-09
Ans: (a) $x=1$, $y=x+4$ (b) max point: $(-1,1)$, min point:
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2022
2022-M2-10
Ans: (b) $\dfrac{\pi}{4}$ (c) $\dfrac{\pi^2}{8}$ (d) $\d
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2022
2023-M2-03
Ans: (a) $p=4$, $q=1$ (b) $\pi+\dfrac{3}{2}\ln 2$
$\begin
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2023
2023-M2-06
Ans: (b) $\dfrac{1}{21\pi}$
The required volume
$\begin{
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2023
2023-M2-07
Ans: (a) $y=3\sqrt{4-x^2}+k\sin^{-1}\dfrac{x}{2} -6$ (
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2023
2023-M2-09
Ans: (a) $f'(x)=(1-2x^2)e^{-x^2}$, $f”(x)=2x(2x
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2023
2023-M2-12
Ans: (b) $\dfrac{1}{4}(e^2-4e+7)$ (c) $\dfrac{e^2-4e+7
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2023