Skip to content

Course home

3.8 Numerical Methods (A-level only)

3.8 Numerical Methods (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109
Question 36

h(x)=2x4+x2+3x−20h(x) = 2x^4 + x^2 + 3x - 20h(x)=2x4+x2+3x−20

a.

Find h′(x)h'(x)h′(x)

[2]
b.

The root of h(x)=0h(x) = 0h(x)=0 lies in the interval [1.4,1.8][1.4, 1.8][1.4,1.8].

Use the Newton-Raphson method, starting with x0=1.6x_0 = 1.6x0​=1.6, to find the root of h(x)=0h(x) = 0h(x)=0 to 3 decimal places.

[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