CAIE P1 2010 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2010
SessionNovember
TopicDifferentiating Transcendental Functions

3 The length, \(x\) metres, of a Green Anaconda snake which is \(t\) years old is given approximately by the formula $$x = 0.7 \sqrt { } ( 2 t - 1 ) ,$$ where \(1 \leqslant t \leqslant 10\). Using this formula, find
  1. \(\frac { \mathrm { d } x } { \mathrm {~d} t }\),
  2. the rate of growth of a Green Anaconda snake which is 5 years old.