These Ten-Year-Series (TYS) worked solutions with video explanations for 2017 A Level H2 Mathematics H1 Question 8 [Modified] are suggested by Mr Gan. For any comments or suggestions please contact
2020 ACJC Promo Q7 The functions $text{f}$ and $text{g}$ are defined as follows: $text{f}:xmapsto 7{{left( x-a right)}^{2}}-1$, $xin mathbb{R}$, $x<3$ $text{g}:xmapsto 1+b-{{e}^{-x}}$, $xge 0$, where $a$ and $b$ are real
2022 EJC J2 MCT Q8 Planes $p$ and $q$ have equations $x+y+z=5$ and $3x+y-z=9$ respectively, and meet in the line $l$. (a) Find a vector equation for $l$. [2] (b)
2008 JJC P2 Q7 In a game played by two people A and B, each player is given three cards with three different animal pictures printed on them. The players
2020 RVHS P1 Q10 Sales agent $A$ started work on 1st June 2020. He plans to acquire $2$ clients in his first month of work and thereafter increase his clientele
2020 SAJC P2 Q3 The variables $x$ and $y$ are related by the differential equation $frac{text{d}y}{text{d}x}=frac{x-y}{x-y+1}$. (i) Solve the differential equation, using the substitution $u=x-y+1$, and show that the general
2020 TMJC P1 Q8 (i) Show that the differential equation $frac{text{d}y}{text{d}x}=5left( x-y right)$ may be reduced by the substitution $w=x-y$ to $frac{text{d}w}{text{d}x}=1-5w$. Hence find the general solution for $~y$ in
2020 RVHS P2 Q2 A particle moving in a liquid is such that after $t$ seconds, its velocity is $v$ ms$^{-1}$, $vne 0$. $v$ satisfies the differential equation $vfrac{text{d}v}{text{d}t}+2{{v}^{2}}=t{{text{e}}^{-2t}}$. (i)
2020 RI P1 Q3 (i) Prove that for $x>0$, the substitution $y=ux$ reduces the differential equation $left( y-x right)left( frac{text{d}y}{text{d}x}-frac{y}{x} right)={{y}^{2}}+2{{x}^{2}}$ to $left( frac{u}{{{u}^{2}}+2}-frac{1}{{{u}^{2}}+2} right)left( frac{text{d}u}{text{d}x} right)=1$. [2] (ii) Hence
HCI Probability Notes Example 24 A bag contains two red balls and three green balls. Three balls are drawn form the bag, one after another without replacement. Find the probability