7. Consider the disk x² + y² ≤ 4 in the second quarter. Find its center of mass if the density at any point is proportional to its distance from the y-axis.

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please explain each step and show work on a paper.  If you can draw a graph that relates to the question I'll appreciate it.

7. Consider the disk x² + y² ≤ 4 in the second quarter. Find its center of mass if the
density at any point is proportional to its distance from the y-axis.
Transcribed Image Text:7. Consider the disk x² + y² ≤ 4 in the second quarter. Find its center of mass if the density at any point is proportional to its distance from the y-axis.
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