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HKDSE-M2 - 2022
2022-M2-01
Ans: $\dfrac{-5}{54}$
$\begin{array}{cl}
& g(1+h)
…
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2022
2022-M2-02
Ans: (b) $\dfrac{5\pi}{12}$
$\begin{array}{cl}
& \
…
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2022
2022-M2-03
Ans: (b) $4995$
Let $P(n)$ be the given statement.
For $n=1$
…
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2022
2022-M2-04
Ans: (a) $\dfrac{dy}{dx} = e^{-x}(2x^2-11x+7)$, $\dfrac
…
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2022
2022-M2-05
Ans: (b) $a=-1$, $b=2$, $n=5$
By the binomial theorem, we ha
…
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2022
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-M2-08
Ans: (a) $y=\dfrac{4a^2+(4k-2k^2)a+(k^2+16k+8)}{a^3+
…
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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
2022-M2-11
Ans: (a) (i) $I-A^{n+1}$ (b) (i) $-1$ (ii) $\dfrac{49}{2}$
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2022
2022-M2-12
Ans: (b) (i) $32\bv{i}+\dfrac{7}{3}\bv{j}+\bv{k}$ (ii)
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2022