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Parametric Equations

Parametric Equations

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Question 173

The spatial coordinates (x,y)(x, y)(x,y) of a particle moving through a controlled force field are defined by the parametric equations

x=5t−7y=6t−24t+3t>0 x = \frac{5}{t} - 7 \quad y = \frac{6t - 2}{4t + 3} \quad t > 0 x=t5​−7y=4t+36t−2​t>0
a.

Show that the equation of the trajectory can be written in the form y=g(x)y = g(x)y=g(x) where g g\,g is the function

g(x)=ax+bcx+dx>k g(x) = \frac{ax + b}{cx + d} \quad x > k g(x)=cx+dax+b​x>k

where a,b,c,d a, b, c, d\,a,b,c,d and k k\,k are integers to be found.

[5]
b.

Hence, or otherwise, state the range of ggg.

[2]
Markscheme

Parametric Equations Questions

  1. A Level
  2. /Maths
  3. /Parametric Equations

215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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