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Objectives: Understand and use the Divergence Theorem. Use the Divergence Theorem to calculate flux. Recall the alternative (flux) form of Green's Theorem that is: F. Nds = $Mdy - Ndx = == C C OM әм ON + dA = √√ div FdA дх ду R R In an analogous way, the Divergence Theorem gives the relationship between a triple integral over a solid region Q and a surface integral over the surface of Q. In the statement of the theorem, the surface S is closed in the sense that it forms the complete boundary of the solid Q. In order to invoke the Divergence Theorem, you need two conditions to be met: 1.) 2.)

Objectives: Understand and use the Divergence Theorem. Use the Divergence Theorem to calculate flux. Recall the alternative (flux) form of Green's Theorem that is: F. Nds = $Mdy - Ndx = == C C OM әм ON + dA = √√ div FdA дх ду R R In an analogous way, the Divergence Theorem gives the relationship between a triple integral over a solid region Q and a surface integral over the surface of Q. In the statement of the theorem, the surface S is closed in the sense that it forms the complete boundary of the solid Q. In order to invoke the Divergence Theorem, you need two conditions to be met: 1.) 2.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Calculus lll 

May I please have numbers 1 and 2 explanations resolved?

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Objectives: Understand and use the Divergence Theorem. Use the Divergence Theorem to calculate flux. Recall the alternative (flux) form of Green's Theorem that is: F. Nds = $Mdy - Ndx = == C C OM әм ON + dA = √√ div FdA дх ду R R In an analogous way, the Divergence Theorem gives the relationship between a triple integral over a solid region Q and a surface integral over the surface of Q. In the statement of the theorem, the surface S is closed in the sense that it forms the complete boundary of the solid Q. In order to invoke the Divergence Theorem, you need two conditions to be met: 1.) 2.)
Transcribed Image Text:Objectives: Understand and use the Divergence Theorem. Use the Divergence Theorem to calculate flux. Recall the alternative (flux) form of Green's Theorem that is: F. Nds = $Mdy - Ndx = == C C OM әм ON + dA = √√ div FdA дх ду R R In an analogous way, the Divergence Theorem gives the relationship between a triple integral over a solid region Q and a surface integral over the surface of Q. In the statement of the theorem, the surface S is closed in the sense that it forms the complete boundary of the solid Q. In order to invoke the Divergence Theorem, you need two conditions to be met: 1.) 2.)
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