Average temperature Consider a block of a conducting material occupyingthe region D = {(x, y, z): 0 ≤ x ≤ 2, 0 ≤ y ≤ 2, 0 ≤ z ≤ 1}.Due to heat sources on its boundaries, the temperature in the block is given by T(x, y, z) = 250xy sin πz. Find the average temperature of the block.

Average temperature Consider a block of a conducting material occupyingthe region D = {(x, y, z): 0 ≤ x ≤ 2, 0 ≤ y ≤ 2, 0 ≤ z ≤ 1}.Due to heat sources on its boundaries, the temperature in the block is given by T(x, y, z) = 250xy sin πz. Find the average temperature of the block.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 33E

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Question

Average temperature Consider a block of a conducting material occupying
the region
D = {(x, y, z): 0 ≤ x ≤ 2, 0 ≤ y ≤ 2, 0 ≤ z ≤ 1}.
Due to heat sources on its boundaries, the temperature in the block is given by T(x, y, z) = 250xy sin πz. Find the average temperature of the block.

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