Disc Method: Revolving Around x/y Axes
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
Identify the axis of revolution for the formula:
V
=
π
∫
a
b
[
f
(
y
)
]
2
d
y
V = \pi \int_a^b [f(y)]^2 \, dy
V
=
π
∫
a
b
[
f
(
y
)
]
2
d
y
.
QUESTION
What is the integral limit when revolving region from
y
=
0
y = 0
y
=
0
to
y
=
4
y = 4
y
=
4
around y-axis?
QUESTION
Define the disc method in calculus.
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ANSWER
A method to find volume by revolving a region around an axis. Creates circular cross-sections perpendicular to the axis.
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