2015 NYJC P1 Q9 (a) A geometric sequence ${{x}_{1}}$, ${{x}_{2}}$, ${{x}_{3}}$, … has first term $a$ and common ratio $r$, where $a>0$, $r>0$. The sequence of numbers ${{y}_{1}}$, ${{y}_{2}}$, ${{y}_{3}}$,
TJC Inequalities Tutorial Q10 (i) A wooden artwork is designed to take the form of a right pyramid with square base of sides $2x$m and fixed volume $frac{4}{3}$m$^{3}$. All its
HCI Sequence and Series Tutorial Q7 The Sierpinski sieve, which is an example of a fractal, is constructed by starting with a solid black equilateral triangle. This triangle is divided
These Ten-Year-Series (TYS) worked solutions with video explanations for 2015 A Level H2 Mathematics Paper 2 Question 3 are suggested by Mr Gan. For any comments or suggestions please contact
These Ten-Year-Series (TYS) worked solutions with video explanations for 2023 A Level H2 Mathematics Paper 1 Question 4 are suggested by Mr Gan. For any comments or suggestions please contact
HCI Tutorial 2A Graphs And Transformations Q4 (e) Sketch the curve whose parametric equations are $x=2cos tcos 2t$, $y=sin tcos 2t$, $0le t<2pi $. Suggested Video and Handwritten Solutions Continue
ACJC Complex Numbers Tutorial Q13 On an Argand diagram, the points $P$ and $Q$ represent the complex numbers $p$ and $q$ respectively where $p=cos theta +mathbf{i}sin theta $, $0<theta <frac{pi
ACJC Parametric Equations Tutorial Q4 A curve $C$ is defined by the parametric equations $x=2{{t}^{2}}$, $y=sin left( -t right)$, for $0le tle 3pi $ (i) Find the exact coordinates of
2021 SAJC Promo Q5 (a) (i) Show that $frac{text{d}}{text{d}x}left( {{3}^{2x}} right)={{9}^{x}}ln 9$. (ii) Hence, differentiate ${{tan }^{-1}}left( {{3}^{2x}} right)$, $x>0$ with respect to $x$. (b) Given that ${{y}^{2y}}={{e}^{3x+2e}}$, where $y>{{e}^{-1}}$,
2015 VJC P2 Q7 A game is to be played between two players, $A$ and $B$. A bag contains $5$ balls each with $A$’s name and $8$ balls each with