a Show that f(x) 0 has a root in the interval 3 4, 3 5 b Find f '(x) c Taking 3 4 as a first approximation to , apply the NewtonRaphson procedure once to f(x) to obtain a second approximation for , giving your answer to 3 decimal places f(x) ln (3x 4) x 10, x 3...

a. Show that f(x) = 0 has a root in the interval [3.4, 3.5]. b. Find

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a. Show that f(x) = 0 has a root α in the interval [3.4, 3.5].

b. Find f'(x).

c. Taking 3.4 as a first approximation to α, apply the Newton–Raphson procedure once to f(x) to obtain a second approximation for α, giving your answer to 3 decimal places.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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a. Show that f(x) = 0 has a root in the interval [3.4, 3.5]. b. Find

Question:

f(x) = ln (3x − 4) – x² + 10, x > 3

Step by Step Answer:

a f34 02645 0 f35 0...View the full answer

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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