How did they get these bounds for this double integral?

heres a problem from my textbook. How did they figure out those bounds for theta? On an exam i wont be able to use a calculator that graphs polar coords, and i should know how to do this anyways. Thanks

http://i55.tinypic.com/bfjoz8.png

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Originally Posted by Evan.Kimia

heres a problem from my textbook. How did they figure out those bounds for theta? On an exam i wont be able to use a calculator that graphs polar coords, and i should know how to do this anyways. Thanks

http://i55.tinypic.com/bfjoz8.png

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It's obvious where the bounds have come from. Are you asking how is converted to a polar equation?

I understand how the bounds for r are set by converting http://www.mathhelpforum.com/math-he...01dddb08b5.png to polar coords but im not sure howe the bounds for theta (the -pi/2 to pi/2) are figured out.

Quote:

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Originally Posted by Evan.Kimia

I understand how the bounds for r are set by converting http://www.mathhelpforum.com/math-he...01dddb08b5.png to polar coords but im not sure howe the bounds for theta (the -pi/2 to pi/2) are figured out.

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The polar angle associated with (2, 0) is 0.

The polar angles associated with (0, 0) are -pi/2 and pi/2.