In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function :三 T(t) = 49 + 12 sin Find the average temperature T during the period from 9 AM to 9 PM. ave Step 1 Let 9:00 AM correspond to t = 0 hours. Then, 9:00 PM corresponds to t = 12 12 hours. Step 2 1 12 49 + 12 sin) dt. | 1긔 We must find T 12| - 0 Step 3 Using properties of the integral, we know the following. [*(49 - 12 sin() ) t = 12 12 49 dt + 12 Ja sin By evaluating the first integral, we get 12 12 49 dt =|
In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function :三 T(t) = 49 + 12 sin Find the average temperature T during the period from 9 AM to 9 PM. ave Step 1 Let 9:00 AM correspond to t = 0 hours. Then, 9:00 PM corresponds to t = 12 12 hours. Step 2 1 12 49 + 12 sin) dt. | 1긔 We must find T 12| - 0 Step 3 Using properties of the integral, we know the following. [*(49 - 12 sin() ) t = 12 12 49 dt + 12 Ja sin By evaluating the first integral, we get 12 12 49 dt =|
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function
:三
T(t) = 49 + 12 sin
Find the average temperature T
during the period from 9 AM to 9 PM.
ave
Step 1
Let 9:00 AM correspond to t = 0 hours. Then, 9:00 PM corresponds to t = 12
12 hours.
Step 2
1
12
49 + 12 sin) dt.
| 1긔
We must find T
12| - 0
Step 3
Using properties of the integral, we know the following.
[*(49 - 12 sin() ) t =
12
12
49 dt + 12
Ja
sin
By evaluating the first integral, we get
12
12
49 dt =|
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