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1 Pure Mathematics

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Question 1325

A curve has the parametric equations

x=ln⁡(t+1)x = \ln(t + 1)x=ln(t+1), y=t2−5y = t^2 - 5y=t2−5, where t>−1t > -1t>−1

a.

Find the points where the curve crosses the coordinate axes. Give the coordinates in exact form.

[2]
b.

Find an equation for the tangent to the curve at the point where t=3t = 3t=3.

[5]
Markscheme

1 Pure Mathematics Questions

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