1.0 1,0 F1 2x, y = 6 – x², and the y-axis, and its mass density is 8(x, y) q(x) The region R is bounded by the curves Y = xy. To find the center of gravity of the region you Iл c a(x) q(x) y5(x, y)dydx where p(æ) d L, s(2, S. I s(2, y)dyda, / L xõ(x, y)dydx, and p(x) would compute 8(x, y)dA = R p(x) p(x) : q(x) q(x) I L 8(x, y) dydæ p(x) q(x) Г II rő(x, y) dydx = Jp(x) q(x) I y6(z, 9) dyde p(æ) and finally the center of gravity is х — ニ

Question
1.0
1,0
F1
2x, y = 6 – x², and the y-axis, and its mass density is 8(x, y)
q(x)
The region R is bounded by the curves Y
= xy. To find the center of gravity of the region you
Iл
c a(x)
q(x)
y5(x, y)dydx where
p(æ)
d
L, s(2,
S.
I s(2, y)dyda, / L xõ(x, y)dydx, and
p(x)
would compute
8(x, y)dA =
R
p(x)
p(x) :
q(x)
q(x)
I L 8(x, y) dydæ
p(x)
q(x)
Г
II rő(x, y) dydx =
Jp(x)
q(x)
I y6(z, 9) dyde
p(æ)
and finally the center of gravity is
х —
ニ
Expand
Transcribed Image Text

1.0 1,0 F1 2x, y = 6 – x², and the y-axis, and its mass density is 8(x, y) q(x) The region R is bounded by the curves Y = xy. To find the center of gravity of the region you Iл c a(x) q(x) y5(x, y)dydx where p(æ) d L, s(2, S. I s(2, y)dyda, / L xõ(x, y)dydx, and p(x) would compute 8(x, y)dA = R p(x) p(x) : q(x) q(x) I L 8(x, y) dydæ p(x) q(x) Г II rő(x, y) dydx = Jp(x) q(x) I y6(z, 9) dyde p(æ) and finally the center of gravity is х — ニ

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