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Average Value of a Function: fx,y,z

Description

In the Cartesian coordinate system, determine the average value of a multivariate function.

 

Average Value of a Function: fx,y,z

Function

x3y2z

x3y2z

(1)

Region: z1x,yzz2x,y,y1xyy2x,axb

z1x,y

1xy

1xy

(2)

z2x,y

10x2y2

10x2y2

(3)

y1x

x2

x2

(4)

y2x

x

x

(5)

a

0

0

(6)

b

1

1

(7)

Inert integral: dz dy dx

StudentMultivariateCalculusFunctionAverage,z=..,y=..,x=..,output=integral

140219∫01∫x2x∫1xy10x2y2x3y2zⅆzⅆyⅆx

(8)

Value

StudentMultivariateCalculusFunctionAverage,z=..,y=..,x=..

72239204984

(9)

Commands Used

Student[MultivariateCalculus][FunctionAverage]

See Also

Student[MultivariateCalculus], Student[MultivariateCalculus][MultiInt]