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Find the average temperature on that part of the plane2x + 2y + z = 4 over the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, wherethe temperature is given by T(x, y, z) = e2x + y + z - 3.

Find the average temperature on that part of the plane2x + 2y + z = 4 over the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, wherethe temperature is given by T(x, y, z) = e2x + y + z - 3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the average temperature on that part of the plane
2x + 2y + z = 4 over the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, where
the temperature is given by T(x, y, z) = e2x + y + z - 3.

Expert Solution
Step 1

The given function of temperature is,

Tx,y,z=e2x+y+z-3.

The surface is z=4-2x-2y over 0≤x≤1,0≤y≤1

To Find: Average temperature over this surface.

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