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>−1Find the points where the curve crosses the coordinate axes.
Find an equation for the tangent to the curve when t=3t = 3t=3.
Practise Edexcel A Level Maths Parametric Equations with exam-style questions for A Level Maths. 64 questions covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.