A sensor tracking the movement of a robotic probe in a research lab models the horizontal displacement xxx and vertical displacement yyy at time ttt using the parametric equations
x=7×6−t+3x = 7 \times 6^{-t} + 3x=7×6−t+3 y=4×6t−5y = 4 \times 6^{t} - 5y=4×6t−5
Show that dydx=−47×62t\dfrac{dy}{dx} = -\dfrac{4}{7} \times 6^{2t}dxdy=−74×62t.
Find the Cartesian equation of the curve in the form xy+ax+by=cxy + ax + by = cxy+ax+by=c, where aaa, bbb and ccc are integers.
Practise Edexcel A Level Maths 9.7 Parametric Differentiation with exam-style questions for A Level Maths. 36 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.