10/29/17; Reworded/clarified/corrected three problems:
Problem 3: Take the second derivative of this expression with respect to r0 and show that this expression for the first derivative is where maximum heat transfer occurs (hint: maximum heat transfer occurs where U’ is a maximum and U’=1/R’).
Problem 6: How long would it take the sphere in problem 5 to reach a temperature of 150 °C?
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