Q1
Answer
A line $l_1$ has the equation $y=x^2-8x+20$ and a second line $l_2$ has equation $y=x+6$.
  1. Find the coordinates of the points of intersection of $l_1$ and $l_2$.
  2. Find, to one decimal place, the area of the finite region bounded by these two lines.
  1. $(2,8)$ and $(7,13)$
  2. $20.8$
Q2
Answer
Find the first three terms in the binomial expansion of $$\sqrt{\dfrac{2x + 1}{4 + 3x}}$$
$\dfrac{3}{2} + \dfrac{13}{16}x - \dfrac{101}{128}x^2$
Q3
Answer
An object is projected upwards with speed 7 m s$^{-1}$ from the ground. Calculate:
  1. The speed of the object when it is 2.1 m high.
  2. The greatest height of the object.
  3. The time after projection when the object is travelling downwards with speed 5.7 m s$^{-1}$.
  1. $2.8$
  2. $2.5$
  3. $1.3$