Blog: Mth301 Assignment No. 3

Assignment #  3

MTH301 (Spring 2011)

Total marks: 10

Lecture # 17 to 26  

DON’T MISS THESE Important instructions:

• Only Question # 4 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:

Use double integral to find the volume in the first octant bounded by the coordinate planes, the plane   and plane.

Question 2:

Use double integral to find the volume of the solid bounded by the cylinder  and the plane z=0 and z=2-x.  

Question # 3

Evaluate the iterated integral         by converting to polar coordinates.

Question # 4

Use a double integral in polar coordinates to find the area of the region inside the circle   r =1 and outside the cardioid.