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1.12.2 Iterative methods and Newton-Raphson (A-level only)

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Question 17

g(x)=x5+2x2+x−8g(x) = x^5 + 2x^2 + x - 8g(x)=x5+2x2+x−8

a.

Find g′(x)g'(x)g′(x)

[2]
b.

The root of g(x)=0g(x) = 0g(x)=0 lies in the interval [1.0,1.5][1.0, 1.5][1.0,1.5].

Use the Newton-Raphson method, starting with x0=1.3x_0 = 1.3x0​=1.3, to find the root of g(x)=0g(x) = 0g(x)=0 to 3 decimal places.

[5]

1.12.2 Iterative methods and Newton-Raphson (A-level only) Questions

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