- #1
City88
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Homework Statement
I'm not sure how to go about finding the following moments:
[tex]
M_{x}= \int \int\ [/tex] y dx dy
[tex]
M_{y}= \int \int\ [/tex] x dx dy
Where the region is bounded by the ellipse:
[tex]\frac{(x-2)^2}{16}} + \frac{(y-4)^2}{36}}[/tex] = 1
Homework Equations
Listed above...
The Attempt at a Solution
I drew the ellipse and found the bounds to be
-2 [tex]\leq y[/tex] [tex]\leq10[/tex]
-2 [tex]\leq x[/tex] [tex]\leq 6[/tex]
Then I tried integrating with those bounds, but I can't seem to get the right answers. Any help/hints would be greatly appreciated.