This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Â§ 6.5 Applications of the Definite Integral Math 121 Lecture 33 ! Average Value of a Function Over an Interval ! Consumersâ€™ Surplus (*) ! Future Value of an Income Stream ! Volume of a Solid of Revolution Determine the average value of f ( x ) = 1 â€“ x over the interval 1 ! x ! 1. Using (2) with a = 1 and b = 1, the average value of f ( x ) = 1 â€“ x over the interval 1 ! x ! 1 is equal to An antiderivative of 1 â€“ x is . Therefore, So, the average value of f ( x ) = 1 â€“ x over the interval 1 ! x ! 1 is 1. ( Average Temperature ) During a certain 12hour period the temperature at time t (measured in hours from the start of the period) was degrees. What was the average temperature during that period? The average temperature during the 12hour period from t = 0 to t = 12 is ( Average Temperature ) During a certain 12hour period the temperature at time t (measured in hours from the start of the period) was degrees....
View
Full
Document
This document was uploaded on 09/30/2010.
 Spring '09
 Math, Calculus

Click to edit the document details