Question

A solid is formed by rotating the region bounded by the curve ?=?−6?/2y=e−6x/2 and the ?x-axis...

A solid is formed by rotating the region bounded by the curve ?=?−6?/2y=e−6x/2 and the ?x-axis between x=0 and x=1, around the x-axis. The volume of this solid is ?/6⋅(1−?^(−6)). Assuming the solid has constant density ?, find ?¯ and y¯.

x¯=
y¯=

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