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Average Value of a Function: 
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Description
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In the Cartesian coordinate system, determine the average value of a multivariate function.
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Average Value of a Function: 
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Function
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>
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| (1) |
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Region:  <= y and y <= y[2](x), z[1](x, y) <= z and z <= z[2](x, y)}](/support/helpjp/helpview.aspx?si=3991/file05335/math56.png)
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](/support/helpjp/helpview.aspx?si=3991/file05335/math63.png)
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>
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| (2) |
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](/support/helpjp/helpview.aspx?si=3991/file05335/math80.png)
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>
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| (3) |
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](/support/helpjp/helpview.aspx?si=3991/file05335/math94.png)
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| (4) |
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](/support/helpjp/helpview.aspx?si=3991/file05335/math109.png)
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>
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| (5) |
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| (6) |
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>
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| (7) |
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Inert integral: 
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![Student[MultivariateCalculus][FunctionAverage](__x__^3*__y__^2*__z__, z = 1-__x__-__y__ .. 10-__x__^2-__y__^2, y = __x__^2 .. __x__, x = 0 .. 1, output = integral)](/support/helpjp/helpview.aspx?si=3991/file05335/math168.png)
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| (8) |
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Value
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![Student[MultivariateCalculus][FunctionAverage](__x__^3*__y__^2*__z__, z = 1-__x__-__y__ .. 10-__x__^2-__y__^2, y = __x__^2 .. __x__, x = 0 .. 1)](/support/helpjp/helpview.aspx?si=3991/file05335/math185.png)
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| (9) |
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