Last-Minute Success: 8 Tips to Maximize Exam Performance
Tim Gan Math Blog
by Emily
3d ago
As the exam season unfolds and you find yourself deep in the process, with another 20 days still ahead, it’s essential to harness your focus and energy to maximize your ..read more
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N2009 P2 Q4
Tim Gan Math Blog
by Timothy Gan
4d ago
These Ten-Year-Series (TYS) worked solutions with video explanations for 2009 A Level H2 Mathematics Paper 2 Question 4 are suggested by Mr Gan. For any comments or suggestions please contact ..read more
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2023 EJC P2 Q3
Tim Gan Math Blog
by Timothy Gan
4d ago
2023 EJC P2 Q3 The variables $x$ and $y$ are related by the differential equation $pi frac{text{d}y}{text{d}x}+yleft( 3-pi tan x right)=0$. (a) Using the substitution $y=zsec x$, show that $frac{text{d}z}{text{d}x}=frac{-3x}{pi ..read more
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2023 ACJC P1 Q5
Tim Gan Math Blog
by Timothy Gan
4d ago
2023 ACJC P1 Q5 (i) Find $frac{text{d}}{text{d}x}{{text{e}}^{-{{x}^{2}}}}$. Hence find $int{{{x}^{3}}{{text{e}}^{-{{x}^{2}}}}}text{d}x$. [3] (ii) By using the substitution $z={{text{e}}^{-{{x}^{2}}}}y$, find the general solution of $frac{text{d}y}{text{d}x}-2xy={{x}^{3}}$, expressing $y$ in teams of $x$. [4 ..read more
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2023 YIJC P1 Q7
Tim Gan Math Blog
by Timothy Gan
4d ago
2023 YIJC P1 Q7 (a) (i) It is given that $frac{text{d}y}{text{d}x}={{left( 4x-y+2 right)}^{2}}$. Using the substitution $v=4x-y$, show that the differential equation can be transformed to $frac{text{d}v}{text{d}x}=text{f}left( v right)$, where ..read more
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2023 TMJC P1 Q10
Tim Gan Math Blog
by Timothy Gan
4d ago
2023 TMJC P1 Q10 (a) Show that the differential equation $frac{text{d}y}{text{d}x}-frac{2y}{x}={{x}^{3}}$ may be reduced by the substitution $y=u{{x}^{2}}$ to $frac{text{d}u}{text{d}x}=x$. Hence find the general solution for $y$ in terms of ..read more
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2023 JPJC P1 Q11
Tim Gan Math Blog
by Timothy Gan
1w ago
2023 JPJC P1 Q11 [ The volume of a cone of base radius $r$ and height $h$ is given by $V=frac{1}{3}pi {{r}^{2}}h$.] A disposable cup for water dispenser, in the ..read more
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2022 JPJC P1 Q9
Tim Gan Math Blog
by Timothy Gan
1w ago
2022 JPJC P1 Q9 (a) The functions $text{f}$ and $text{g}$ are defined by $text{f}:xto frac{x-2}{x+2}$, $xin mathbb{R}$, $xne -2$,$text{g}:xto -{{x}^{2}}$, $xin mathbb{R}$, $x<-sqrt{2}$, (i) Find ${{text{f}}^{-1}}left( x right)$ and state ..read more
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2023 MI P1 Q9
Tim Gan Math Blog
by Timothy Gan
1w ago
2023 MI P1 Q9 (a) A curve $y=text{h}left( x right)$ intersects the $x$-axis at point $A$ with coordinates $left( a,0 right)$, where $ane 0$, and has a horizontal asymptote with ..read more
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2024 ASRJC P1 Q7
Tim Gan Math Blog
by Timothy Gan
1w ago
2024 ASRJC P1 Q7 (a) State a sequence of transformations that will transform the curve with equation ${{y}^{2}}-{{x}^{2}}=1$ on to the curve with equation $9{{y}^{2}}-54y-{{x}^{2}}-2x+79=0$. [4] (b) A curve $C ..read more
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