Skip to content

Course home

Sign up

1.9 Numerical Methods (A-level only)

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879
Question 5

f(x)=x3+2x2−5xx>0f(x) = x^3 + 2x^2 - 5\sqrt{x} \quad x > 0f(x)=x3+2x2−5x​x>0

a.

Show that f(x)=0f(x) = 0f(x)=0 has a root in the interval [1.3,1.4][1.3, 1.4][1.3,1.4]

[2]
b.

Find f′(x)f'(x)f′(x)

[3]
c.

Starting with x0=1.35x_0 = 1.35x0​=1.35, apply the Newton-Raphson procedure once to find an approximate solution to the equation f(x)=0f(x) = 0f(x)=0 giving your answer to 3 decimal places.

[3]
Markscheme

1.9 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9 Numerical Methods (A-level only)

125 exam-style questions on OCR A Level Maths 1.9 Numerical Methods (A-level only), covering 1.9.1 Locating roots by sign change (A-level only), 1.9.2 Failure of sign change methods (A-level only), 1.9.3 Simple iterative methods (A-level only), 1.9.4 Newton-Raphson method (A-level only), 1.9.5 Failure of iterative methods (A-level only), 1.9.6 Numerical integration (A-level only), and 1.9.7 Numerical methods in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank