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1.5.16 Gradient of a parametric curve (A-level only)

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Question 15

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−4
a.

Show that dydx=−25×32t\dfrac{dy}{dx} = -\dfrac{2}{5} \times 3^{2t}dxdy​=−52​×32t.

[4]
b.

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.

[4]

1.5.16 Gradient of a parametric curve (A-level only) Questions

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