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Parametric Equations

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Question 36

A curve has the parametric equations

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

Find the points where the curve crosses the coordinate axes.

[2]
b.

Find an equation for the tangent to the curve when t=3t = 3t=3.

[5]

Parametric Equations Questions

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