The amount of mass transported via a pipe over a period of time can be computed aswhere M...

The amount of mass transported via a pipe over a period of time can be computed as

where M = mass (mg), t1 = the initial time (min), t2 = the final time (min), Q(t) = flow rate (m3/min), and c(t) = concentration (mg/m3). The following functional repre­sentations define the temporal variations in flow and concentration:

Q(t) = 9 + 4cos2(0.4t)

c(t) = 5e-0.5t + 2e0.15t

Determine the mass transported between t1 = 2 and t2 = 8 min with (a) Romberg integration to a tolerance of 0.1% and (b) the MATLAB quad function.