A curve has equation y=ln(4−3x)+x2−3xy = \ln(4 - 3x) + x^2 - 3xy=ln(4−3x)+x2−3x. Given that the curve intersects the xxx-axis at exactly one point.
Show that the xxx-coordinate of this point lies between 0 and 1
321 exam-style questions on Edexcel A Level Maths Numerical Methods, covering 10.1 Locating Roots, 10.2 Iteration, 10.3 The Newton-Raphson Method, and 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.