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Mathematics
Mathematics
Problem
A solid is generated by revolving the region under the graph of a continuous function
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
on
0
≤
x
≤
b
0\le x\le b
0
≤
x
≤
b
about the
x
x
x
-axis. Which expression represents the radius of a typical circular cross-section taken at position
x
x
x
? a)
f
(
x
)
\sqrt{f(x)}
f
(
x
)
b)
f
(
x
)
f(x)
f
(
x
)
c)
2
f
(
x
)
2f(x)
2
f
(
x
)
d)
x
x
x
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