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=kt = kt=k, where k>−1k > -1k>−1, in terms of kkk.
215 exam-style questions on Edexcel A Level Maths Parametric Equations, 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. Each one has a worked solution and a mark scheme showing where the marks go.