A creatures body temperature is varying sinusoidally with time. 35 minutes after they start timing, it reaches a high of 120 F. Twenty minutes after that, its next low is 104 F.
a) write and equation to model this function.

Question

A creatures body temperature is varying sinusoidally with time. 35 minutes after they start timing, it reaches a high of 120 F. Twenty minutes after that, its next low is 104 F.
a) write and equation to model this function.

anonymous · Answer

So what I found so far is the amplitude=8
the vertical shift=112
need help finding the k (Horizontal Stret/comp factor)
after that i'll find the horizontal shift.

anonymous · Answer

y= a sin k(x-d)+c
a=8
c=112
k?
d=after finding k.

sidsiddhartha · Answer

k means period of the wave

sidsiddhartha · Answer

$$k=\frac{ 2 \pi }{ time~taken~To ~complete~1~cycle }$$

anonymous · Answer

i know but i'm not getting the right answer for it. i'm not sure how long it take to complete 1 full cycle.

sidsiddhartha · Answer

yes for a half cycle it is taking 20 min so for a full cycle it will take 40 min, right?

sidsiddhartha · Answer

so 
$$k=\frac{ 2 \pi }{ 40 }=\frac{ \pi }{ 20 }$$
make sense?

anonymous · Answer

yes, that is the right answer, I trying to calculate the full cycle using the max point.

anonymous · Answer

I was getting 70 minutes

sidsiddhartha · Answer

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this is it