On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function P(t) = - 0.006779t³ + 0.1986t² – 1.065t + 18.54 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) =D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function
P(t) = - 0.006779t³ + 0.1986t² – 1.065t + 18.54
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) =D
Transcribed Image Text:On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function P(t) = - 0.006779t³ + 0.1986t² – 1.065t + 18.54 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) =D
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