10.3 The Newton-Raphson Method
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f(x)=x3−2x2+4x−5x>0f(x) = x^3 - 2x^2 + 4\sqrt{x} - 5 \quad x > 0f(x)=x3−2x2+4x​−5x>0

a.

Show that f(x)=0f(x) = 0f(x)=0 has a root in the interval [1.8,1.9][1.8, 1.9][1.8,1.9]

[2]
b.

Find f′(x)f'(x)f′(x)

[3]
c.

Starting with x0=1.85x_0 = 1.85x0​=1.85, 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]

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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