any one have any idea what paper this is and if so where i can find the answers... ty (1 Viewer)
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Question c) is from the 2011 HSC Mathematics Extension 1 paper (Question 5 part (b)).
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Answers:
I hope this helps!
Link to the paper:
Answers:
I hope this helps!
THANK YOUUUUUUUQuestion c) is from the 2011 HSC Mathematics Extension 1 paper (Question 5 part (b)).
Link to the paper:
Answers:
View attachment 32345
I hope this helps!
Hey sorry i was just looking over this again, i had one q, why is the model 22+15e^-kt, i understand the 22 part but not the 15.Question c) is from the 2011 HSC Mathematics Extension 1 paper (Question 5 part (b)).
Link to the paper:
Answers:
View attachment 32345
I hope this helps!
Newton's law of heating and cooling tells us that the rate of change of temperature is proportional to the difference between the object and its surroundings. That is,
where
is the temperature difference at time 
. To adjust this to an absolute temperature, we get:
Thus,
is to adjust for the surrounding temperature not being zero, and 
comes from the constant of integration that arises in solving the DE.
For the specific problem, we have
and we need 
at 
. Substituting and solving gives 
.
where
Thus,
For the specific problem, we have
thank youuuuNewton's law of heating and cooling tells us that the rate of change of temperature is proportional to the difference between the object and its surroundings. That is,
where
Thus,
For the specific problem, we have