anonymous
  • anonymous
Is anyone willing to help?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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NickS
  • NickS
You said your problem had to do with Newton's law of cooling, is that the equation Y(t)=Ys+Aoe^kt?
anonymous
  • anonymous
hey nick are you still there?
anonymous
  • anonymous
it say's I have 2 replys yet I only saw one questioned response from nick am I doing something wrong?

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NickS
  • NickS
All right, I think I figured out your problem, it may take a while, but I'll explain it.
anonymous
  • anonymous
c'mon please help? I'll show you what I think I know lol
NickS
  • NickS
In that equation Y(t)=Ys+Aoe^kt, the Ys=surrounding temperature at t=0. In this case, let t=0 be the 12:00 AM time. So the Ys in this problem is 65. Ao = Y(0) - Ys, which is 78-65 = 13, the 78 being the temperature at time 0. So, your equation should start out looking like Y(t)=65+13e^kt.
NickS
  • NickS
Now, we need to solve for k. To do that, set your Y(t) to the second temperature taken, which was 74 degrees. You also know t, since the second temperature was recorded an hour later or 60 minutes later. So it should be 74=65+13e^(60k).
NickS
  • NickS
Move the 65 over, which makes it 9=13e^(60k). To get rid of the e, take the log of both sides, i.e. ln(9/13)=lne^(60k).
NickS
  • NickS
That will give you ln(9/13)=60k. Solve for k and you should get something like -.0061...
NickS
  • NickS
Now that you have the k value, you can solve for when the body died. Set the equation equal to 98.6. So you should now have 98.6=65+13e^(-.0061...t)
NickS
  • NickS
Solve t the same way you found the k value and you will be able to determine when the boy died.
anonymous
  • anonymous
k thank you
NickS
  • NickS
No problem, glad I could help.
anonymous
  • anonymous
yes you did I was in panic mode. The equation we were given varies but it's the same idea

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