2021-M2-12
Ans: (a) (i) $s=10$, $t=-18$ (ii) $270$ (iii) $2160$ (iv) $2
… Read HKDSE-M2
2022-M2-01
Ans: $\dfrac{-5}{54}$
… Read $\begin{array}{cl}
& g(1+h)
2022-M2-02
Ans: (b) $\dfrac{5\pi}{12}$
… Read -
$\begin{array}{cl}
& \
2022-M2-03
Ans: (b) $4995$
… Read - Let $P(n)$ be the given statement.
For $n=1$
2022-M2-04
Ans: (a) $\dfrac{dy}{dx} = e^{-x}(2x^2-11x+7)$, $\dfrac
… Read 2022-M2-05
Ans: (b) $a=-1$, $b=2$, $n=5$
… Read - By the binomial theorem, we ha
2022-M2-06
Ans: (b) Yes
… Read - Let $I=\dint \dfrac{1}{x^2+2x+5}dx$.
$\begi
2022-M2-07
Ans: (b) $\dfrac{-\ln 3}{294}$
… Read - Consider the slope of $L$,
$
2022-M2-08
Ans: (a) $y=\dfrac{4a^2+(4k-2k^2)a+(k^2+16k+8)}{a^3+
… Read 2022-M2-09
Ans: (a) $x=1$, $y=x+4$ (b) max point: $(-1,1)$, min point:
… Read 2022-M2-10
Ans: (b) $\dfrac{\pi}{4}$ (c) $\dfrac{\pi^2}{8}$ (d) $\d
… Read 2022-M2-11
Ans: (a) (i) $I-A^{n+1}$ (b) (i) $-1$ (ii) $\dfrac{49}{2}$
… Read 2022-M2-12
Ans: (b) (i) $32\bv{i}+\dfrac{7}{3}\bv{j}+\bv{k}$ (ii)
… Read 2023-M2-01
Ans: $a=\dfrac{-2}{9}$, the coefficient of $x^2=-248$
… Read $\
2023-M2-02
Ans: (b) $-1$
… Read -
$\begin{array}{cl}
& f\left(\dfrac{\
2023-M2-03
Ans: (a) $p=4$, $q=1$ (b) $\pi+\dfrac{3}{2}\ln 2$
… Read -
$\begin
2023-M2-04
Ans: (b) $\dfrac{8\pi}{9}$ or $\dfrac{10\pi}{9}$
… Read -
$\begi
2023-M2-05
Ans: (c) Yes
… Read -
$\begin{array}{rcl}
A^2 +A+I & = & 0
2023-M2-06
Ans: (b) $\dfrac{1}{21\pi}$
… Read - The required volume
$\begin{
2023-M2-07
Ans: (a) $y=3\sqrt{4-x^2}+k\sin^{-1}\dfrac{x}{2} -6$ (
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