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Numerical Methods

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Question 37

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 find an approximate solution to the equation f(x)=0f(x) = 0f(x)=0 giving your answer to 3 decimal places.

[3]
Markscheme

Numerical Methods Questions

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

80 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.

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