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Example Questions
Example Question #1 : Equations Involving Derivatives
The temperature profile of a system is given by
The heat flux is given by Fourier's law, , where k is a constant.
Find the heat flux for the given profile.
Possible Answers:
Correct answer:
Explanation:
To find the heat flux, we must find the change in temperature with respect to x:
The derivative was found using the following rule:
Plugging this into Fourier's law, we get
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