10.3 The Newton-Raphson Method
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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]

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b.

Find f′(x)f'(x)f′(x)

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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.

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10.3 The Newton-Raphson Method Questions

Practise Edexcel A Level Maths 10.3 The Newton-Raphson Method with exam-style questions for A Level Maths. 23 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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10.3 The Newton-Raphson Method Questions

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