Solution Found!
Average values Find the average temperature on that part
Chapter 11, Problem 39E(choose chapter or problem)
QUESTION:
Find the average temperature on that part of the plane \(3 x+4 y+z=6\) over the square \(|x| \leq 1,|y| \leq 1\), where the temperature is given by \(T(x, y, z)=e^{-z}\)
Questions & Answers
QUESTION:
Find the average temperature on that part of the plane \(3 x+4 y+z=6\) over the square \(|x| \leq 1,|y| \leq 1\), where the temperature is given by \(T(x, y, z)=e^{-z}\)
ANSWER:
Solution 39E
Step 1
For a function of the form, the derivative of such function is given by