Question

The temperature of a chemical reaction ranges between 40 degrees Celsius and 180 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 12-hour period. What is a cosine function that models this reaction?
f(t) = 70 cos 12t + 110
f(t) = 110 cos 12t + 70
f(t) = −70 cos pi over 6t + 110
f(t) = −110 cos pi over 6t + 70

Answer 1

@Jacob902 @pooja195 @Hero

Answer 2

@ganeshie8

Answer 3

@Michele_Laino @dan815

Answer 4

the amplitude A of your function is:
\[\Large A = \frac{{180 - 40}}{2} = ...?\]

Answer 5

140/2= 70

Answer 6

So A?

Answer 7

no, since the period of our function is 12 hours, so the shape og our function has to be this:
\[\Large \cos \left( {\frac{{2\pi }}{{12}}t} \right)\]

Answer 8

of*

Answer 9

It's really hard so I don't really know what to plug in for the shape of function

Answer 10

since at t=0, the value is 40, then we have this drawing: