Question

Multivariable Calculus Question

Answer 1

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.

Answer 2

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?

Answer 3

**are 2 to 0

Answer 4

@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?

Answer 5

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.

Answer 6

Alright. Thank you for the help!