On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function P(t) = - 0.005841t3 + 0.198412 - 1.082t + 18.18 where t is the number of hours since midnight, for 0sts24. Find any relative extrema for power usage, as well as when they occurred. Find the derivative of P(t). P'(t) = | Find 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. 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.) O B. There are no relative maxima. The relative minimum/minima 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= 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.
On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function P(t) = - 0.005841t3 + 0.198412 - 1.082t + 18.18 where t is the number of hours since midnight, for 0sts24. Find any relative extrema for power usage, as well as when they occurred. Find the derivative of P(t). P'(t) = | Find 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. 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.) O B. There are no relative maxima. The relative minimum/minima 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= 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.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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