Volumes with Cross Sections: Squares/Rectangles
AP Calculus AB · Flashcards · Recall
AP CALCULUS AB · FLASHCARDS
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QUESTION
What does
s
(
x
)
s(x)
s
(
x
)
represent in the formula for square cross sections?
QUESTION
State the relationship between volume and cross-sectional area.
QUESTION
What is the formula for the volume of a solid with square cross sections?
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ANSWER
Volume =
integral of
(
s
(
x
)
)
2
dx
\text{integral of } (s(x))^2 \text{ dx}
integral of
(
s
(
x
)
)
2
dx
. For square cross sections, area is
s
2
s^2
s
2
, then integrate over the interval.
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