Suppose the region has constant density. The region is bounded by the upper half of the circle radius 2 centered at the origin with variable density given by rho(x,y)=1+y/2. Find the total mass?  Moment about the x axis? Moment about the y axis?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose the region has constant density. The region is bounded by the upper half of the circle radius 2 centered at the origin with variable density given by rho(x,y)=1+y/2.

Find the total mass? 

Moment about the x axis?

Moment about the y axis?

Center of Mass = Center of gravity = Centroid?

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