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Methods2024 NHT Exam 2 Section A · Q12CAS active1 mark

Newton's method iterations

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Newton's method is used to estimate the $x$ -intercept of the function

$f: [0, \infty) \to \R, f(x) = \log_e(2x+1) - \left(4 - x^{\frac{5}{2}}\right)$

With an initial estimate of $x_0 = 0$ , the estimate for $x_3$ is closest to

1 mark

A

1.4717

B

1.4718

C

1.4752

D

1.5628

E

2.0000

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