Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.
HCI Functions Tutorial Q10 An electronically controlled thermostat in a home is programmed to control the temperature automatically throughout a day. The temperature in the house $T$ (in degrees Celsius)
2018 IJC MYE Q12 [Modified] The diagram shows the graph of $y=ln left( x+2 right)-frac{x}{5}$.The positive root of the equation $ln left( x+2 right)-frac{x}{5}=0$ is denoted by $alpha $.Find the
NYJC Applications of Integration Tutorial Q1 The curve $C$ is defined by the parametric equations $x=6t-1$, $y=8{{t}^{2}}+2$ where $tge frac{1}{6}$. The line $N$, with equation $3y=8x-10$, is the tangent to
2015 SAJC P1 Q9 The function $text{g}$, with domain ${xin mathbb{R}:1le xle 6}$, has six of its function values given in the table below. (i) Use the table to explain
2015 HCI P1 Q3 A tunnel is built to facilitate the transportation of goods by trains between Country $text{X}$ and Country $text{Y}$. Due to differences in the rail systems between
2022 CJC Promo Q9 Relative to origin $O$, the position vectors of points $A$, $B$ and $C$ are $mathbf{a}$, $mathbf{b}$ and $mathbf{c}$ respectively, where $mathbf{b}$is a unit vector. It is
2013 TJC P2 Q2 The position vectors of the points $A$, $B$ and $C$, relative to the origin $O$ are $mathbf{a}=,mathbf{i}+2mathbf{k}$, $mathbf{b}=3mathbf{i}+mathbf{j}+3mathbf{k}$ and $mathbf{c}=,mathbf{i}+mathbf{j}+mathbf{k}$ respectively. (i) Determine whether the points
NJC Vectors Tutorial Q6 Referred to the origin $O$, the points $A$ and $B$ are such that $overrightarrow{OA}=mathbf{a}$ and $overrightarrow{OB}=mathbf{b}$ where $mathbf{a}$ and $mathbf{b}$ are non-parallel vectors. It is also
ACJC Binomial Distribution Assignment Q1 Batteries are packed in boxes of $200$, and on average $0.5%$ of all batteries are defective. (i) A box which contains one or more defective
2008 SAJC Promo The perimeter of an isosceles triangle of base length $x$ cm and two sides of equal length $y$ cm each is $12$ cm. Show that its area