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HKDSE-M2 - 2023
2023-M2-01
Ans: $a=\dfrac{-2}{9}$, the coefficient of $x^2=-248$
$\
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2023
2023-M2-02
Ans: (b) $-1$
$\begin{array}{cl}
& f\left(\dfrac{\
…
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2023
2023-M2-03
Ans: (a) $p=4$, $q=1$ (b) $\pi+\dfrac{3}{2}\ln 2$
$\begin
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2023
2023-M2-04
Ans: (b) $\dfrac{8\pi}{9}$ or $\dfrac{10\pi}{9}$
$\begi
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2023
2023-M2-05
Ans: (c) Yes
$\begin{array}{rcl}
A^2 +A+I & = & 0
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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-M2-08
Ans: (b) $a=\dfrac{1}{2}$, $b=\dfrac{2}{11}$
Let $P(n)$
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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-M2-10
Ans: (a) $\dfrac{-2}{11}\bv{i}-\dfrac{5}{11}\bv{j}-\
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2023
2023-M2-11
Ans: (a) (i) $a\neq 1$ and $a\neq \dfrac{3}{2}$ (ii) $5$ (ii
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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