## anonymous one year ago find centroid of the region found in first quadrant bounded by y=sqrt(1-x^2),y=0,x=0 does this just basically make it not balance so that I have to find xbar and ybar? using their formulas

1. dm91

this question is confusing

2. anonymous

are xbar and ybar anything other than 0?

3. dm91

what do you think it is?

4. anonymous

well I think none are going to be zero. I was looking at my notes and don't know how my teacher was able to determine xbar to equal zero just by looking at the problem.

5. ganeshie8

You need to find the coordinates of the center of mass : |dw:1442386634593:dw|

6. ganeshie8

$\overline{x} = \dfrac{1}{A} \iint xdA =\dfrac{1}{\pi/4} \int\limits_0^1 x\sqrt{1-x^2}\, dx = ?$ $\overline{y} = \dfrac{1}{A} \iint ydA = \dfrac{1}{\pi/4}\int\limits_0^1 \frac{1-x^2}{2}dx=?$

7. anonymous

I understand that, what I need help with is , how do I know if xbar or ybar will be 0 just by looking at it?

8. ganeshie8

neither of them could be 0, forget math. look at the region, where do you expect the center of mass to lie ?

9. ganeshie8

|dw:1442387249476:dw|

10. ganeshie8

somewhere around here : |dw:1442387453637:dw|