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1 Answer

Above is the graph of y=2-x or x=2-y, which creates a symmetry evident when the integrations are carried out.

Above is the integration for all parts (1) to (4) of the question.

The solid is a cone with height=base=2, volume=⅓πr²h=8π/3, confirming the integrations.

Whether dx or dy is used in the integration is usually determined by which axis is used as the “spindle” for rotation.

by Top Rated User (762k points)

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