Use what you know about average value from previous sections to propose a formula for the average value of a multivariate function f(x, y, z) on a smooth surface S.

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Use what you know about average value from previous sections to propose a formula for the average value of a multivariate function f(x, y, z) on a smooth surface S.

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$Hence, the average value of a multivariate function f (x, y, z) on a smooth surface S is, f_{avg} (S) = \frac{\int_{S} f (x, y, z) dS}{\int_{S} 1 dS}$

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Calculus

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Use what you know about average value from previous sections to propose a formula for the average value of a multivariate function f(x, y, z) on a smooth surface S.

Step by Step Solution

Step 1. Given

Step 2. Finding the average value of multivariable function

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Calculus

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Short Answer

Use what you know about average value from previous sections to propose a formula for the average value of a multivariate function f(x, y, z) on a smooth surface S.

Step by Step Solution

Step 1. Given

Step 2. Finding the average value of multivariable function

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