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HKDSE-M2 - 2022

2022-M2-01

Ans: $\dfrac{-5}{54}$

$\begin{array}{cl}
& g(1+h)

… Read
2022

2022-M2-02

Ans: (b) $\dfrac{5\pi}{12}$
  1. $\begin{array}{cl}
    & \
… Read
2022

2022-M2-03

Ans: (b) $4995$
  1. Let $P(n)$ be the given statement.

    For $n=1$

… Read
2022

2022-M2-04

Ans: (a) $\dfrac{dy}{dx} = e^{-x}(2x^2-11x+7)$, $\dfrac
… Read
2022

2022-M2-05

Ans: (b) $a=-1$, $b=2$, $n=5$
  1. By the binomial theorem, we ha
… Read
2022

2022-M2-06

Ans: (b) Yes
  1. Let $I=\dint \dfrac{1}{x^2+2x+5}dx$.

    $\begi

… Read
2022

2022-M2-07

Ans: (b) $\dfrac{-\ln 3}{294}$
  1. Consider the slope of $L$,

    $

… Read
2022

2022-M2-08

Ans: (a) $y=\dfrac{4a^2+(4k-2k^2)a+(k^2+16k+8)}{a^3+
… Read
2022

2022-M2-09

Ans: (a) $x=1$, $y=x+4$ (b) max point: $(-1,1)$, min point:
… Read
2022

2022-M2-10

Ans: (b) $\dfrac{\pi}{4}$ (c) $\dfrac{\pi^2}{8}$ (d) $\d
… Read
2022

2022-M2-11

Ans: (a) (i) $I-A^{n+1}$ (b) (i) $-1$ (ii) $\dfrac{49}{2}$
… Read
2022

2022-M2-12

Ans: (b) (i) $32\bv{i}+\dfrac{7}{3}\bv{j}+\bv{k}$ (ii)
… Read
2022

Topic Cloud

3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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