A curve is defined by the parametric equations
x=5×3−t+2 x = 5 \times 3^{-t} + 2 x=5×3−t+2 y=2×3t−4 y = 2 \times 3^{t} - 4 y=2×3t−4Show 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.
