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Determine the centroid C(x,y,z) of the solid formed in the first octant bounded by z+y-16=0 and...

Determine the centroid C(x,y,z) of the solid formed in the first octant bounded by z+y-16=0 and x^2=16-y.

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Homework Answers

Answer #1

The top surface of the solid S is z+y-16=0 and the bottom surface isz= 0 over the region Din the xy-plane which is bounded by the other equations in the xy-plane and theintersection of the top and bottom surfaces.

The region D is given by

Volume of the soild

Calculation of V:

Calculating

Similarly

Hence, centroid =

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