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June 29th, 2017, 05:09 AM   #1
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Triple integral

Okay so I have given the following problem and the solutions says that the angle phi is between -pi/2 and pi/2 and I'm not sure how do we get that? I'm asked to find the mass.
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June 29th, 2017, 07:28 AM   #2
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Quote:
 Originally Posted by sarajoveska Okay so I have given the following problem and the solutions says that the angle phi is between -pi/2 and pi/2 and I'm not sure how do we get that? I'm asked to find the mass.
It's a good idea to get an impression of what the inequalities look like by plotting a few points. The base $\displaystyle x^2 + y^2 \leq x$ happens to refer to the unit closed disk centered at $\displaystyle (1, 0)$, occuping the first and fourth quadrants. hence the angle.

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