Tutoring Questic a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function P(t) = - 0.006566t° +0.1975t - 1.071t+ 18.63 ere t is the number of hours since midnight, for 0sts24. Find any relative extrema for power usage, as well as when they occurred. d the derivative of P(t). (t) = -0.019698t? +0.395t - 1.071 nd any relative extrema for power usage, as well as when they occurred. Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. There are no relative maxima. The relative minimum/minima is/are at the t-value(s) t= (Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) O B. The relative maximum/maxima is/are at the t-value(s) t= and the relative minimum/minima is/are at the t-value(s) t= (Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) ) C. There are no relative minima. The relative maximum/maxima is/are (Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) at the t-value(s) t= O D. There are no relative extrema.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.