Area Bounded By Two Polar Curves
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
Card 1
of 36
0 got it
0 to review
Current
Got it
Still learning
Not seen
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
)
?
QUESTION
For
r
=
4
cos
(
θ
)
r = 4\cos(\theta)
r
=
4
cos
(
θ
)
and
r
=
4
sin
(
θ
)
r = 4\sin(\theta)
r
=
4
sin
(
θ
)
, find the intersection points.
Tap to flip before you grade
ANSWER
θ
=
π
4
,
5
π
4
\theta = \frac{\pi}{4}, \frac{5\pi}{4}
θ
=
4
π
,
4
5
π
. Found by solving
4
cos
(
θ
)
=
4
sin
(
θ
)
4\cos(\theta) = 4\sin(\theta)
4
cos
(
θ
)
=
4
sin
(
θ
)
, so
tan
(
θ
)
=
1
\tan(\theta) = 1
tan
(
θ
)
=
1
.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card