Area Bounded By Two Polar Curves
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
How do you convert a polar area integral to Cartesian form?
QUESTION
What does the expression
r
=
a
(
1
±
cos
(
θ
)
)
r = a(1 \pm \cos(\theta))
r
=
a
(
1
±
cos
(
θ
))
represent?
QUESTION
Which polar curve represents a cardioid:
r
=
1
+
cos
(
θ
)
r = 1 + \cos(\theta)
r
=
1
+
cos
(
θ
)
or
r
=
2
sin
(
θ
)
r = 2\sin(\theta)
r
=
2
sin
(
θ
)
?
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ANSWER
r
=
1
+
cos
(
θ
)
r = 1 + \cos(\theta)
r
=
1
+
cos
(
θ
)
. Heart-shaped curve with cusp at origin.
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