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.
 
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- 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
  