Chapter 6: Q1P (page 284)
If,role="math" localid="1659148191947" find
For Problems 2 to 6, given
Short Answer
Simplifying, , ,we get
Chapter 6: Q1P (page 284)
If,role="math" localid="1659148191947" find
For Problems 2 to 6, given
Simplifying, , ,we get
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Get started for freeThe following equations are variously known as Green’s first and second identities or formulas or theorems. Derive them, as indicated, from the divergence theorem.
To prove this, let in the divergence theorem.
To prove this, copy Theorem above as is and also with and interchanged; then subtract the two equations.
Find the derivative of at in the direction of the vector .
Given that , use the divergence theorem to show that over any closed surface is zero.
Question: around the circlewhere
Find vector fields such that role="math" localid="1657346627450" for each givenrole="math" localid="1657346639484"
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