Assignment # 1
MTH301 (Fall 2011)
Total marks: 10
Lecture # 1 to 8
Due date: October 25, 2011
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.
- Upload assignments properly through LMS.
- 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:
Convert the given spherical coordinates to rectangular and cylindrical coordinates.
Question 2:
Determine whether the following limit exists
Question 3:
Check the continuity of function at (0, 0)
Question # 4
Calculate
by using chain rule of differentiation.
Where
and
Question 5:
Calculate the value of
if