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Paul
August 7, 2018

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

## 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 I

For problems 1  10 evaluate the given line integral.  Follow the direction of C as given in the problem statement.

1. Evaluate  where C is the portion of  from  and

2. Evaluate  where C is the line segment from  to

3. Evaluate  where C is the left half of the circle centered at the origin of radius 6 with counter clockwise rotation.

4. Evaluate  where C is given by  for  .

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

6. Evaluate  where C is given by  for  .

7.  Evaluate  where C is the circle centered at the origin of radius 1 centered on the x-axis at  .   See the sketches below for the direction.

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

9.  Evaluate  where C is the upper half of the circle centered at the origin of radius 1 with the clockwise rotation followed by the line segment form  to  which in turn is followed by the lower half of the circle centered at the origin of radius 3 with the clockwise rotation.   See the sketch below for the direction.

10. Evaluate  where C is the triangle with vertices ,  and  with the clockwise rotation.

11. Evaluate  for each of the following curves.

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

(b) C is the portion of  from  to .

12. Evaluate  for each of the following curves.

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

(b) C is the line segment from  to .

13. Evaluate  for each of the following curves.

(a) C is the line segment from  to .

(b) C is the line segment from  to .

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

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