16z dV, where E is the upper hemisphere of x? + y² + 2² = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The image contains the mathematical expression for a triple integral:

\[
\iiint_{E} 16z \, dV, \text{ where } E \text{ is the upper hemisphere of } x^2 + y^2 + z^2 = 1
\]

This expression represents the integral of the function \(16z\) over the volume \(E\), where \(E\) is defined as the upper hemisphere of the sphere given by the equation \(x^2 + y^2 + z^2 = 1\).
Transcribed Image Text:The image contains the mathematical expression for a triple integral: \[ \iiint_{E} 16z \, dV, \text{ where } E \text{ is the upper hemisphere of } x^2 + y^2 + z^2 = 1 \] This expression represents the integral of the function \(16z\) over the volume \(E\), where \(E\) is defined as the upper hemisphere of the sphere given by the equation \(x^2 + y^2 + z^2 = 1\).
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