Ben Ho Wei Hong's answer to Pierre's Secondary 3 A Maths question.
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Date Posted:
7 years ago
9c) Answer provided here is not complete:
As t approaches a large number (meaning after a long time has past), the second term becomes very small in magnitude (tends to zero) as the exponential is power to negative number. The first term remains.
Thus, as t becomes large, it becomes 25 degree Celsius. M = 25.
M is the room temperature, as the coffee reaches temperature equilibrium with the environment.
(Try drawing out the graph and you will see from the shape, it will converge to 25 as t increases)
As t approaches a large number (meaning after a long time has past), the second term becomes very small in magnitude (tends to zero) as the exponential is power to negative number. The first term remains.
Thus, as t becomes large, it becomes 25 degree Celsius. M = 25.
M is the room temperature, as the coffee reaches temperature equilibrium with the environment.
(Try drawing out the graph and you will see from the shape, it will converge to 25 as t increases)
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