A curve has the parametric equations
x=ln(t+2),y=t2−4,t>−2 x = \ln(t + 2), \quad y = t^2 - 4, \quad t > -2 x=ln(t+2),y=t2−4,t>−2Find the points where the curve crosses the coordinate axes. Hence find the gradient of the curve at the point where the curve crosses the yyy-axis.
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.