homework help > math > calculus q&a board > topic: polar coordinates...

Q BgQuestion:

      
Mentor
Karma Points: 766
Respect (98%):
posted by  ashortfuse13 on 11/4/2007 4:27:02 PM  |  status: Closed  |  Earned Karma: 766

Polar Coordinates

Course Textbook Chapter Problem Needs by
Calculus Calculus: Concepts and Contexts (3rd) by Stewart 12.4 27E N/A
Question Details:


Convert and evaluate the given iterated integral by converting to polar coordinates.

cRequests for Clarification:

Novice
Karma Points: 25
posted by Anonymous on 11/3/2009 4:06:06 PM  |  status: Live
Clarification Details:
isn't that drawing incorrect?  There is no y=1 bound and the area shaded should be below the y=x line to the curve sqrt(2)

AAnswers:

Answer Question Ask for clarification
Sage
Karma Points: 4,613
(Aligarh Muslim University, Indian institute of Technology,Roorkee)
posted by Saiful Rahman on 11/5/2007 8:28:39 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:

Since by the given limit we have

the regin of  is between the line x=y and x = √2-y2  i.e x2 + y2 = 2. a circle , in the first co-ordinate.
 
So in polar form we have θ=π/4 to θ=π/2.
and  r = 0 to √2
 
 =
 
=
 
 
 

 
Tags: Math, Calculus
Answer Question Ask for clarificarion
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »

Need Help In

Useful Links