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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