Question

In a certain city the temperature (in $^\circ$F) t hours after 9 AM was modeled by the function $T(t) = 40 + 11 \sin(\frac{\pi t}{12})$. Find the average temperature $T_{ave}$ during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.) $T_{ave} = \boxed{} \ ^\circ F$

          In a certain city the temperature (in $^\circ$F) t hours after 9 AM was modeled by the function
$T(t) = 40 + 11 \sin(\frac{\pi t}{12})$.
Find the average temperature $T_{ave}$ during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.)
$T_{ave} = \boxed{} \ ^\circ F$

In a certain city the temperature (in ^∘F) t hours after 9 AM was modeled by the function
T(t) = 40 + 11 sin((π t)/(12)).
Find the average temperature Tave during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.)
Tave = ^∘ F

Added by Randy G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

01/06/2023

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Step 1: The time period from 9 AM to 9 PM is 12 hours. Show more…

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In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function $$T(t) = 40 + 11 sin(\frac{\pi t}{12}).$$ Find the average temperature $T_{ave}$ during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.) $T_{ave} = \boxed{}$ °F