Question

A. (1 point) Find the volume of the solid obtained by rotating the region enclosed by...

A. (1 point) Find the volume of the solid obtained by rotating the region enclosed by ?= ?^(4?)+5, ?= 0, ?= 0, ?= 0.8

about the x-axis using the method of disks or washers. Volume = ___ ? ∫

B. (1 point) Find the volume of the solid obtained by rotating the region enclosed by ?= 1/(?^4) , ?= 0, ?= 1, and ?= 6,

about the line ?= −5 using the method of disks or washers.

Volume = ___? ∫

C.  (1 point)

Find the volume of the solid whose base is the region bounded by the ?x-axis, the curve ?= sqrt(x^2+1) ,?= 1 and ?= 4 and which has the property that each cross section perpendicular to the ?-axis is an equilateral triangle.Volume = ___?

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