Skip to content

Course home

Sign up

Numerical Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223
Question 192

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

a.

Show that f(x)=0f(x) = 0f(x)=0 has a root in the interval [0.6,0.7][0.6, 0.7][0.6,0.7]

[2]
b.

Find f′(x)f'(x)f′(x)

[3]
c.

Starting with x0=0.65x_0 = 0.65x0​=0.65, apply the Newton-Raphson procedure once to verify that an approximate solution to the equation f(x)=0f(x) = 0f(x)=0 is 0.668.

[3]
Markscheme

Numerical Methods Questions

  1. A Level
  2. /Maths
  3. /Numerical Methods

329 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.

Question bank