Find the center of mass of the following plane region with variable density. Describe the distribution of mass region. The upper half (y ≥0) of the plate bounded by the ellipse x² +9y² = 9 with p(x,y) = 5 + y.

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Find the center of mass of the following plane region with variable density. Describe the distribution of mass in the
region.
The upper half (y ≥0) of the plate bounded by the ellipse x² +9y² = 9 with p(x,y) = 5+y.
The center of mass is
(Type an ordered pair. Type an exact answer, using as needed.)
Describe the distribution of mass in the region. Choose the correct answer below.
O A. The density increases away from the y-axis.
B. The density increases away from the x-axis.
C. The density increases toward the x-axis.
D. The density increases toward the y-axis.
Transcribed Image Text:Find the center of mass of the following plane region with variable density. Describe the distribution of mass in the region. The upper half (y ≥0) of the plate bounded by the ellipse x² +9y² = 9 with p(x,y) = 5+y. The center of mass is (Type an ordered pair. Type an exact answer, using as needed.) Describe the distribution of mass in the region. Choose the correct answer below. O A. The density increases away from the y-axis. B. The density increases away from the x-axis. C. The density increases toward the x-axis. D. The density increases toward the y-axis.
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