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Mathematics
Mathematics
Problem
62. Watching Your
θ
\boldsymbol{\theta}
θ
-Step Consider the polar curve
r
=
4
sin
θ
r=4 \sin \theta
r
=
4
sin
θ
. Describe the graph for each of the following. (a)
0
≤
θ
≤
π
/
2
0 \leq \theta \leq \pi / 2
0
≤
θ
≤
π
/2
(b)
0
≤
θ
≤
3
π
/
4
0 \leq \theta \leq 3 \pi / 4
0
≤
θ
≤
3
π
/4
(c)
0
≤
θ
≤
3
π
/
2
0 \leq \theta \leq 3 \pi / 2
0
≤
θ
≤
3
π
/2
(d)
0
≤
θ
≤
4
π
0 \leq \theta \leq 4 \pi
0
≤
θ
≤
4
π
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