Example 3: Find the volume of the solid formed by revolving the region bounded by the graphs of y = vx and y = x? about the x – axis. b) Sketch the 3 dimensional solid by revolving the bounded a) Graph y = Vx and y = x?. region around the x-axis. -6 -5 4 -3 -2 -! 0 ! ? 3 4 5 6r -6 -5 -4 -3 –2 -! ! ? 3 4 5 6 x c) Notice that there is a gap between the area bounded by d) Set up and evaluate the definite integral that gives the the two curves and the axis of rotation. State the method volume of the generated solid. you will be using to find the volume and label the representative cross section. R= r = Ar
Example 3: Find the volume of the solid formed by revolving the region bounded by the graphs of y = vx and y = x? about the x – axis. b) Sketch the 3 dimensional solid by revolving the bounded a) Graph y = Vx and y = x?. region around the x-axis. -6 -5 4 -3 -2 -! 0 ! ? 3 4 5 6r -6 -5 -4 -3 –2 -! ! ? 3 4 5 6 x c) Notice that there is a gap between the area bounded by d) Set up and evaluate the definite integral that gives the the two curves and the axis of rotation. State the method volume of the generated solid. you will be using to find the volume and label the representative cross section. R= r = Ar
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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Transcribed Image Text:Example 3: Find the volume of the solid formed by revolving the region bounded by the graphs of
y = vx and y = x? about the x – axis.
b) Sketch the 3 dimensional solid by revolving the bounded
a) Graph y = Vx and y = x?.
region around the x-axis.
-6 -5 4 -3 -2 -! 0
! ? 3 4 5 6r
-6 -5 -4 -3 –2 -!
! ? 3 4 5 6 x
c) Notice that there is a gap between the area bounded by
d) Set up and evaluate the definite integral that gives the
the two curves and the axis of rotation. State the method
volume of the generated solid.
you will be using to find the volume and label the
representative cross section.
R=
r =
Ar
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