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3.3 Coordinate geometry in the (x, y) plane (A-level only)

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Question 22

A curve has the parametric equations

x=ln⁡(2t+1),y=t2−16,t>−0.5 x = \ln(2t + 1), \quad y = t^2 - 16, \quad t > -0.5 x=ln(2t+1),y=t2−16,t>−0.5
a.

Find the points where the curve crosses the coordinate axes.

[2]
b.

Find an equation for the tangent to the curve when t=1t = 1t=1.

[5]

3.3 Coordinate geometry in the (x, y) plane (A-level only) Questions

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  3. /3.3 Coordinate geometry in the (x, y) plane (A-level only)