Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 6 b = 3 y = a sin(bx²) π/b Sketch a typical approximating shell. (Do this on paper. Your instructor may ask you to turn in this graph.) Find its circumference c and height h. c(x) h(x) = Use shells to find the volume V of S. V =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 53E
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Let S be the solid obtained by rotating the region shown in the figure about the y-axis.
a = 6
b = 3
y = a sin(bx²)
π/b
Sketch a typical approximating shell. (Do this on paper. Your instructor may ask you to turn in this graph.)
Find its circumference c and height h.
c(x)
h(x) =
Use shells to find the volume V of S.
V =
Transcribed Image Text:Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 6 b = 3 y = a sin(bx²) π/b Sketch a typical approximating shell. (Do this on paper. Your instructor may ask you to turn in this graph.) Find its circumference c and height h. c(x) h(x) = Use shells to find the volume V of S. V =
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