The function f (t) = 30 sin (t) - 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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Mathematics

Mandi

29 December, 21:29

The function f (t) = 30 sin (t) - 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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Ronald Galloway · Answer 1

-15 indicates that the median of the wave is located there. To find the minimum and maximum, add or subtract half of 30, which is the number before the sine.

min = - 30

max = 0

A normal sine function such as this one has a period of 2π, so that is the amount of time (in hours) that one cycle takes.