CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
y = x?
y = 6x – x2
(a) the x-axis
(b) the line y = 10
Determine the diameter of a hole that is drilled vertically through the center of the solid bounded by the graphs of the equations
z-29e-(x2 + y2)/4, z = 0, and x² + y2 = 25 if one-tenth of the volume of the solid is removed. (Round your answer to four
decimal places.)
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Find the volume of the described solid.
7) The solid lies between planes perpendicular to the x-axis at x = -5 and x = 5. The cross sections
perpendicular to the x-axis are circular disks whose diameters run from the parabola y = x² to the
parabola y = 50-x². Include a graph as part of your answer.
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- Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?arrow_forwardA frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is V=13R2H13rh2arrow_forwardFor the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b volumes.arrow_forward
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