Skip to content

Course home

3.8 Numerical Methods (A-level only)

3.8 Numerical Methods (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109
Question 77

A curve has the equation

y=ln⁡(3−2x)+x2−2xy = \ln(3 - 2x) + x^2 - 2xy=ln(3−2x)+x2−2x

The curve intersects the xxx-axis at exactly one point.

a.

Show that the xxx-coordinate of this point lies between 0 and 1.

[2]
b.

Use the Newton-Raphson method, with x0=1x_0 = 1x0​=1, to find the xxx-coordinate of this point, giving your answer correct to five decimal places. Show the result of each iteration.

[5]
Markscheme

3.8 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.8 Numerical Methods (A-level only)

129 exam-style questions on WJEC A Level Maths 3.8 Numerical Methods (A-level only), covering 3.8.1 Numerical Methods (A-level only), 3.8.2 Numerical Methods (A-level only), 3.8.3 Numerical Methods (A-level only), 3.8.4 Numerical Methods (A-level only), and 3.8.5 Numerical Methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank