Washer Method: Revolving Around Other Axes
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
How do you find the outer radius for revolution around
y
y
y
-axis?
QUESTION
How to set
R
(
x
)
R(x)
R
(
x
)
if revolving around
y
=
0
y = 0
y
=
0
,
y
=
x
2
y = x^2
y
=
x
2
?
QUESTION
Identify
R
(
x
)
R(x)
R
(
x
)
if
y
=
x
2
y = x^2
y
=
x
2
revolves around
y
=
−
1
y = -1
y
=
−
1
.
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ANSWER
R
(
x
)
=
x
2
+
1
R(x) = x^2 + 1
R
(
x
)
=
x
2
+
1
. Distance from
y
=
x
2
y = x^2
y
=
x
2
to horizontal line
y
=
−
1
y = -1
y
=
−
1
is
x
2
−
(
−
1
)
=
x
2
+
1
x^2 - (-1) = x^2 + 1
x
2
−
(
−
1
)
=
x
2
+
1
.
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