(b) | ' : ' approximate volume V(x) of the thin slice of S that lies between x and r+ Ax, where its thickness Let S be the solid obtained by revolving R about the x-axis. Give an expression for the Ax is assumed to be small.
(b) | ' : ' approximate volume V(x) of the thin slice of S that lies between x and r+ Ax, where its thickness Let S be the solid obtained by revolving R about the x-axis. Give an expression for the Ax is assumed to be small.
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please send answer Q12 part b
Transcribed Image Text:Q12. Let R be the region that lies between the curve y =
r2/3
and the x-axis on the interval (2, 0).
The graph of y =
x2/3
is given here:
(a)
The area of R corresponds to the improper integral
d.x.
x2/3
Determine whether this improper integral converges or diverges. If it converges, find its exact value.
Your answer must be well-justified.
* Let S be the solid obtained by revolving R about the x-axis. Give an expression for the
(b) | * :
approximate volume V(x) of the thin slice of S that lies between x and x+Ax, where its thickness
Ax is assumed to be small.
(c)
converges or diverges. If it converges, find the exact volume of S. Your answer must be well-justified
and use appropriate mathematical notation.
Give an improper integral that computes the volume of S and determine whether it
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