Edexcel A Level Further Maths
Topic questions Pure mathematics Inequalities
6 questions · 43 marks · about 50 minutes
In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
Use algebra to determine the values of x for which
Use algebra to determine the values of x for which
In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
Use algebra to determine the values of x for which
Figure 1 shows a sketch of the curve with equation y = |x2 – 8 | and a sketch of the straight line with equation y = mx + c, where m and c are positive constants.
The equation
has exactly 3 roots, as shown in Figure 1.
Show that
Given that c = 3m
determine the value of m and the value of c
Hence solve
Figure 1 shows a sketch of the curve with equation y = f(x) where
Use algebra to determine the values of x for which
A physics student is studying the movement of particles in an electric field. In one experiment, the distances in micrometres of two moving particles, A and B, from a fixed point O are modelled by
respectively, where t is the time in seconds after motion begins.
Use algebra to find the range of time for which particle A is further away from O than particle B is from O.
It was recorded that the distance of particle B from O was less than the distance of particle A from O for approximately 4 seconds.
Use this information to assess the validity of the model.
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