Assignment # 4
MTH301 (Spring 2011)
Total marks: 10
Lecture # 28 - 35
DON’T MISS these Important instructions:
- Only Question # 3 is graded. Remaining questions are for your practice only therefore, you do not need to send the solution of non-graded questions.
- All students are directed to use the font and style of text as is used in this document.
- This is an individual assignment, not group assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others.
- Solve the assignment on MS word document and upload your word (.doc) files only.
Question 1:
Determine whether the following differential is exact or not. If it is, find.

Question 2:
Show that the line integral is independent of path. Also, Evaluate the line integral.

Where c runs from.
Question 3:
Let c be the boundary of the region enclosed between y = x2 and y = 2x Evaluate

by green’s theorem.
Question # 4:

Evaluate the given integral using green’s theorem.

where c is the rectangle bounded by x = -2, x = 4, y = 1, y = 2.
Question # 5:
Find divergence and curl of 
![]() |
Upload your Solution |

