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Calculus III (Assignment Problems) / Line Integrals / Green's Theorem   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Assignment Problems
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Conservative Vector Fields Previous Section   Next Section Curl and Divergence

 Green’s Theorem

 

1. Use Green’s Theorem to evaluate  where C is shown below.

 

2. Use Green’s Theorem to evaluate  where C is are the two circles as shown below.

 

3. Use Green’s Theorem to evaluate  where C is shown below.

 

4. Use Green’s Theorem to evaluate  where C is shown below.

 

5. Use Green’s Theorem to evaluate  where C is shown below.

 

6. Use Green’s Theorem to evaluate  where C is shown below.

 

7. Verify Green’s Theorem for  where C is shown below by (a) computing the line integral directly and (b) using Green’s Theorem to compute the line integral.  

 

 

8. Verify Green’s Theorem for  where C is shown below by (a) computing the line integral directly and (b) using Green’s Theorem to compute the line integral.  

 

Conservative Vector Fields Previous Section   Next Section Curl and Divergence
Multiple Integrals Previous Chapter   Next Chapter Surface Integrals

Calculus III (Assignment Problems) / Line Integrals / Green's Theorem    [Notes] [Practice Problems] [Assignment Problems]

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