The function f(t) = 25 sin (pi over 2t) + 10 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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anonymous · Answer

@amistre64

anonymous · Answer

attachment

anonymous · Answer

@amistre64

amistre64 · Answer

and what are your thoughs about this?

anonymous · Answer

The amplitude is 25 and Im not sure if that would make the maximum 25. I'm not really sure how to find the period either

amistre64 · Answer

well, we are midlining at 10,  so the min max will be 10 +- 25

anonymous · Answer

what is midlining?

amistre64 · Answer

the midline is usually the x axis (the y=0 axis)  but when we add something to a function it tends to move it to some y=k axis ...

what is the normal period for say sin(x)

amistre64 · Answer

if sin(x) is midline at y=0,  then sin(x)+10 is midlied at?

anonymous · Answer

10?

amistre64 · Answer

yeah,  so if it midlines at 0, with an amp of 25 ... but we move it up by 10,  then its range has to be 10 +- 25

amistre64 · Answer

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