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Calculus Examples
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Calculus
Graph r^2=4cos(2theta)
r
2
=
4
cos
(
2
θ
)
Step 1
Using the
formula
r
2
=
a
2
cos
(
2
θ
)
or
r
2
=
a
2
sin
(
2
θ
)
, where
a
≠
0
,
graph
the lemniscate.
r
2
=
4
cos
(
2
θ
)
Step 2
(
(
)
)
|
|
[
[
]
]
√
√
≥
≥
∫
∫
7
7
8
8
9
9
≤
≤
°
°
θ
θ
4
4
5
5
6
6
/
/
^
^
×
×
>
>
π
π
1
1
2
2
3
3
-
-
+
+
÷
÷
<
<
∞
∞
!
!
,
,
0
0
.
.
%
%
=
=
[
x
2
1
2
√
π
∫
x
d
x
]
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