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A solid is bounded by the sphere centered at the origin of radius 5 and the...

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Advance Math

A solid is bounded by the sphere centered at the origin ofradius 5 and the infinite cylinder along the z-axis of radius3.

(a) Write inequalities that describe the solid in Cartesiancoordinates.

(b) Write inequalities that describe the solid in cylindricalcoordinates.

(c) Why is this solid difficult to describe in sphericalcoordinates? Which of the variables ?, ?, ? are difficult todescribe? Explain.

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