Problem 9  The volume of the solid obtained by rotating the region bounded by x=(9y^2), y=1, x=0  about the y-axis can be computed using the method of washers or disks via an integral  V=∫________________dy  (with lower limit of a and upper limit of b)  with limits of integration a=_________ and b=_________ The volume of this solid can also be computed using cylindrical shells via an integral  V=∫_______________dx (with lower limt of alpha and upper limit of beta) with limits of integration alpha=_________ and beta=__________ In either case, the volume is V=______________ cubic units

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 9 

The volume of the solid obtained by rotating the region bounded by

x=(9y^2), y=1, x=0 

about the y-axis can be computed using the method of washers or disks via an integral 

V=∫________________dy 

(with lower limit of a and upper limit of b) 

with limits of integration a=_________ and b=_________

The volume of this solid can also be computed using cylindrical shells via an integral 

V=∫_______________dx

(with lower limt of alpha and upper limit of beta)

with limits of integration alpha=_________ and beta=__________

In either case, the volume is V=______________ cubic units

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