Show EXPLAIN YOUR WORK and ANSWERS on the exam A renewable e…

Show EXPLAIN YOUR WORK and ANSWERS on the exam A renewable energy company is analyzing the daily power output (in kilowatts) of a solar farm over a 24-hour period. Let P(t) represent the power output at t hour , where t = 0 corresponds to midnight and t = 24 corresponds to the next midnight. The recorded data for key hours is as follows: Hour Power Output (kW) 0 0 3 0 6 15 9 50 12 75 15 60 18 30 21 10 24 0 Your Tasks Identify the local maximum(s) and local minimum(s) of  P(t). Identify the absolute (global) maximum and absolute (global) minimum of P(t). Interpret the maxima and minima in context of solar power production: Why does the power peak at certain hours? Why is the output zero at other hours?