Question

In a certain city the temperature (in $^circ$F) $t$ hours after 9 AM was modeled by the function $T(t) = 40 + 19 sinleft(frac{pi t}{12} ight)$. Find the average temperature $T_{ave}$ during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.) $T_{ave} = oxed{} :^circ F$

          In a certain city the temperature (in $^circ$F) $t$ hours after 9 AM was modeled by the function
$T(t) = 40 + 19 sinleft(frac{pi t}{12}
ight)$.
Find the average temperature $T_{ave}$ during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.)
$T_{ave} = oxed{} :^circ F$

$In a certain city the temperature (in ^circF) t hours after 9 AM was modeled by the function T(t) = 40 + 19 sinleft(fracpi t12 ight). Find the average temperature Tave during the period from 9 AM to 9 PM. (Round your answer to the nearest whole number.) Tave = oxed :^circ F$

Added by Mary E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/23/2023

Step 1

In this case, b = 12π/24 = π/2. Therefore, the period is 2π/(π/2) = 4 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 + 19 sin(πt/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