Let be a function such that .

When .

Find an expression for .  (2 marks)

The population, , of Tasmanian Devils in a sanctuary is given by  , where    is the time in years after the sanctuary was established.

The devil population changes at a rate modelled by the function  .

Calculate the increase in the number of Tasmanian Devils at the end of the first 8 years. Give your answer correct to three significant figures.  (3 marks)