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Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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I need help with this question with method please :(
11. Sketch the region bounded by the z axis, the straight line
y =--x+
and the curve y
(a) Find the area of the region in two different ways, that
IS, by integrating the areas of vertical and horizontal in-
finitesimal strips.
(b) Rotate the region bounded by the x axis, the straight
x2 by 360° about the
line y = -x+
and the curve y =
y axis to form a solid of revolution. Find the volume of
the solid in two different ways, that is, by integrating the
infinitesimal volumes generated by vertical and horizontal
infinitesimal strips.
Transcribed Image Text:11. Sketch the region bounded by the z axis, the straight line y =--x+ and the curve y (a) Find the area of the region in two different ways, that IS, by integrating the areas of vertical and horizontal in- finitesimal strips. (b) Rotate the region bounded by the x axis, the straight x2 by 360° about the line y = -x+ and the curve y = y axis to form a solid of revolution. Find the volume of the solid in two different ways, that is, by integrating the infinitesimal volumes generated by vertical and horizontal infinitesimal strips.
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