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  3. the boundary of a lamina consists of the semicircl

The boundary of a lamina consists of the semicircles y = 1 − x2 and y = 25 − x2 together...

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Question

Basic Math

The boundary of a lamina consists of thesemicircles

y =

1 − x2

and y =

25 − x2

together with the portions of the x-axis that jointhem. Find the center of mass of the lamina if the density at anypoint is inversely proportional to its distancefrom the origin. Hint: use polarcoordinates

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