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Calculus III (Assignment Problems) / Line Integrals / Conservative Vector Fields   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Assignment Problems
Multiple Integrals Previous Chapter   Next Chapter Surface Integrals
Fundamental Theorem for Line Integrals Previous Section   Next Section Green's Theorem

 Conservative Vector Fields

 

For problems 1  4 determine if the vector field is conservative.

 

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For problems 5  11 find the potential function for the vector field.

 

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12. Evaluate  where  and C is the line segment from  to .

 

13. Evaluate  where  and C the upper half of  with clockwise rotation.

 

14. Evaluate  where  and C is the portion of  from  to .

 

15. Evaluate  where  and C is the line segment from  to .

 

16. Evaluate  where  and C is the spiral given by  for .

 

17. Evaluate  where   and C is the curve shown below.

 

18. Evaluate  where   and C is the curve shown below.

 

Fundamental Theorem for Line Integrals Previous Section   Next Section Green's Theorem
Multiple Integrals Previous Chapter   Next Chapter Surface Integrals

Calculus III (Assignment Problems) / Line Integrals / Conservative Vector Fields    [Notes] [Practice Problems] [Assignment Problems]

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