Answer:
xcm = 21/4
ycm = 21/4
Step-by-step explanation:
The region of integration (part of the disk x
² +y² ≤ 49 in the first quadrant) is
described easily in polar coordinates as the set of all (r, θ) with 0 ≤ r ≤ 7 and 0 ≤ θ ≤ π
/2
.
Also, the density is ρ(x, y) = k*y = k*r*Sin θ
, where k is a constant of proportionality.
We can see the solution in the pic shown.
