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Mathematics
Mathematics
Problem
The region enclosed by the lines
y
=
x
y=x
y
=
x
and
y
=
4
−
x
y=4-x
y
=
4
−
x
for
0
≤
x
≤
2
0\le x\le 2
0
≤
x
≤
2
is revolved about the horizontal line
y
=
6
y=6
y
=
6
. Which expression gives the outer radius
R
(
x
)
R(x)
R
(
x
)
of a typical washer as a function of
x
x
x
? a)
x
+
2
x+2
x
+
2
b)
6
−
x
6-x
6
−
x
c)
4
−
x
4-x
4
−
x
d)
6
6
6
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