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

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

 

For problems 1  3 determine if the vector field is conservative.

 

1.   [Solution]

 

2.    [Solution]

 

3.   [Solution]

 

For problems 4  8 find the potential function for the vector field.

 

4.   [Solution]

 

5.   [Solution]

 

6.   [Solution]

 

7.   [Solution]

 

8. Evaluate  where C is the portion of the circle centered at the origin with radius 2 in the 1st quadrant with counter clockwise rotation and  . [Solution]

 

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

[Solution]

 

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

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

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