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Paul
August 7, 2018

Calculus III - Assignment Problems
 Multiple Integrals Previous Chapter Next Chapter Surface Integrals Line Integrals - Part I Previous Section Next Section Line Integrals of Vector Fields

## Line Integrals MPSetChAttrs('ch0001','ch0',[[5,1,-3,-1,0],[7,1,-4,-1,0],[9,2,-4,-1,0],[],[],[],[22,4,-11,-2,-1]]) MPInlineChar(0) MPNNCalcTopLeft(document.mpch0001ph,'') MPDeleteCode('ch0001')  Part II

For problems 1  7 evaluate the given line integral.  Follow the direction of C as given in the problem statement.

1. Evaluate  where C is the line segment from  to

2. Evaluate  where C is portion of  from  to .

3. Evaluate  where C is portion of the circle centered at the origin of radius 3 in the 2nd quadrant with clockwise rotation.

4. Evaluate  where C is given by  with .

5. Evaluate  where C is the line segment from  to .

6. Evaluate  where C is given by  with .

7. Evaluate  where C is the portion of  from  to  followed by the line segment from  to .  See the sketch below for the direction.

8. Evaluate  where C is the portion of  from  to  followed by the line segment from  to  which in turn is followed by the line segment from  to .  See the sketch below for the direction.

9.  Evaluate  for each of the following curves.

(a) C is the portion of  from  to  .

(b) C is the line segment from  to .

10.  Evaluate  for each of the following curves.

(a) C is the portion of  from  to  .

(b) C is the line segment from  to  followed by the line segment from  to .

11. Evaluate  for each of the following curves.

(a) C is the portion of the circle centered at the origin of radius 7 in the 1st quadrant with counter clockwise rotation.

(b) C is the portion of the circle centered at the origin of radius 7 in the 1st quadrant with clockwise rotation.

 Line Integrals - Part I Previous Section Next Section Line Integrals of Vector Fields Multiple Integrals Previous Chapter Next Chapter Surface Integrals

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