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Use definite integrals to find the average value of a function over a closed interval.
Remarks
Example 1: Find the average value of y =
over [0, 2].Example 2: The daytime temperature (in Fahrenheit) in a certain city t hours after 8am can be modeled by the function T= 54 + 15sin(pi*t/12) . What is the average temperature in this city during the time period from 8am to 8pm?
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Calculus
Cluster: Level 1: Recall
Cluster: Applications of Integration - Apply knowledge about integrals to finding velocities from accelerations, solving separable differential equations, and finding areas and volumes. Apply integration to model, and solve problems in physics, biology, economics, etc. Find velocity functions and position functions from their derivatives, solve separable differential equations, and use definite integrals to find areas and volumes.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 1: Recall
-
More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
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