A curve is defined by the parametric equations
x=5×3−t+2x = 5 \times 3^{-t} + 2x=5×3−t+2 y=2×3t−4y = 2 \times 3^{t} - 4y=2×3t−4
Show that dydx=−25×32t\dfrac{dy}{dx} = -\dfrac{2}{5} \times 3^{2t}dxdy=−52×32t.
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.