1.1. The energy company Power^Y own and maintain a wind farm. Engineers from Power^Y model the power output, P kW (kiloWatts), of a single wind turbine over a twelve-hour period according to the function

 $P(t)=50+30{{e}^{-0.1}}^{t}sint0\leqt\leq12$

where t is time measured in hours.  The graph of$y=P(t)$ is shown below.

Use the trapezium rule with 5 ordinates to estimate the total power generated by the wind turbine in the last four hours of the twelve-hour period.

1.2. Estimate the average amount of power per minute produced by the wind turbine during these last four hours.