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

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Question 24

A curve has the parametric equations

x=ln⁡(t+4),y=t2−25,t>−4 x = \ln(t + 4), \quad y = t^2 - 25, \quad t > -4 x=ln(t+4),y=t2−25,t>−4
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]

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

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