Skip to content

Course home

Sign up

3.8 Numerical Methods (A-level only)

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879
Question 15

h(x)=ln⁡(x+2)+0.5x2−4x>−2h(x) = \ln(x + 2) + 0.5x^2 - 4 \quad x > -2h(x)=ln(x+2)+0.5x2−4x>−2

a.

Show that h(x)=0h(x) = 0h(x)=0 has a root in the interval [2.2,2.3][2.2, 2.3][2.2,2.3]

[2]
b.

Find h′(x)h'(x)h′(x)

[3]
c.

Using x0=2.2x_0 = 2.2x0​=2.2 as a first approximation, apply the Newton-Raphson procedure to find a second approximation, giving your answer to 3 decimal places.

[3]
Markscheme

3.8 Numerical Methods (A-level only) Questions

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

125 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