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1.5.14 Convert between cartesian and parametric forms (A-level only)

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Question 4
37%

A curve has the parametric equations

x=ln⁡(t+2),y=t2−9,t>−2 x = \ln(t + 2), \quad y = t^2 - 9, \quad t > -2 x=ln(t+2),y=t2−9,t>−2
a.

Find the points where the curve crosses the coordinate axes.

[2]
b.

Find an equation for the tangent to the curve when t=2t = 2t=2.

[5]

1.5.14 Convert between cartesian and parametric forms (A-level only) Questions

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