AQA FP1 2006 June — Question 2

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJune
TopicFixed Point Iteration

2 A curve satisfies the differential equation $$\frac { \mathrm { d } y } { \mathrm {~d} x } = \log _ { 10 } x$$ Starting at the point \(( 2,3 )\) on the curve, use a step-by-step method with a step length of 0.2 to estimate the value of \(y\) at \(x = 2.4\). Give your answer to three decimal places.