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The temperature is changing at a certain rate. What is the temperature when t=5? 
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#1
May410, 12:20 PM

P: 34

1. The problem statement, all variables and given/known data
A pizza, heated to a temperature of 350 degrees Fahrenheit, is taken out of an oven and placed in a 75°F room at time t=0 minutes. The temperature of the pizza is changed at a rate of 110e^{0.4t} degrees Fahrenheit per minute. TO the nearest degree, what is the temperature of the pizza at time t=5 minutes? Answer: 112°F 2. Relevant equations f'(t) = ky? All I can think of is that this problem is related to Newton's Law of Cooling. 3. The attempt at a solution The rate of change or derivative is 110e^{0.4t}. I think what you're suppose to do is find how much the temperature dropped and subtract this number to the original temperature, 350°. I originally thought, if I plugged in t=5 into 110e^{0.4t} and subtract this number from 350°, then I would have my answer. But, of course, this is wrong. 


#2
May410, 03:18 PM

HW Helper
P: 6,202

dT/dt = 110e^{0.4t} ⇒ T= ∫(dT/dt) dt So what is T equal to? 


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