The function f (t) = 30 sin (pi over 3t) - 15 models the temperature of a periodic chemical reaction where t represents time in hours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take

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Sincere Randolph

4 April, 15:41

+1

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Kaya Landry · Answer 1

F (t) = 30 sin (pi/3 t) - 15

when sin (pi/3 t) = 1, f (t) = 15 = > max.

when sin (pi/3 t) = - 1 f (t) = - 45. + min.

period = 2π / (π/3) = 6 hrs.