The table (supplied by San Diego Gas and Electric) gives the power consumption in megawatts in San Diego County from midnight to 6:00 a.m. on December 8, 1999. Use Simpson's Rule to estimate the energy used during that time period, giving your answer correct to two decimal places. Use the fact that power is the derivative of energy and that the units of energy are megawatt-hours. $$\begin{array}{|c|c|}\hline \textrm{Time} & P\;(MW) \\ \hline 0{:}00 & 1814 \\ \hline 0{:}30 & 1735 \\ \hline 1{:}00 & 1686 \\ \hline 1{:}30 & 1646 \\ \hline 2{:}00 & 1637 \\ \hline 2{:}30 & 1609 \\ \hline 3{:}00 & 1604 \\ \hline 3{:}30 & 1611 \\ \hline 4{:}00 & 1621 \\ \hline 4{:}30 & 1666 \\ \hline 5{:}00 & 1745 \\ \hline 5{:}30 & 1886 \\ \hline 6{:}00 & 2052 \\ \hline \end{array}$$

Energy used $\approx$ megawatt-hours