Mathematics

Problem

The height

h

(in metres) of water in a tank at time

x

seconds is given by

h(x)=\dfrac{x\sin x}{x+4}.

Answer the following. a. (i) Determine the rate of change of height with respect to time,

\dfrac{dh}{dx}

. b. (ii) Hence calculate the rate of change of height at

x=\pi

seconds, correct to three decimal places.