Multivariable Calculus Question

Question

anonymous · Answer

So the question is for mass and center of mass with a given density. D is given by the triangular region with vertices (0,0) (2,1) (0,3) and p(x,y) = x+y.

anonymous · Answer

The equation in the book states the limits of integration as 2 to 0 and then 3-x to x/2, I dont understand why the y components of the limits of integration are that. Could anyone explain?

anonymous · Answer

**are 2 to 0

zarkon · Answer

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anonymous · Answer

@Zarkon Alright, first and foremost, I love your avatar. Second... ok that makes sense. so for any arbitrary shape do I just solve for the y's in the min and max equations?

zarkon · Answer

How you set up the limits totally depends on the shape of the region you are integrating over.  For some you could write them as y= something ....for others that would be foolish.

anonymous · Answer

Alright. Thank you for the help!