Cal 3 Polar Coordinate Graphs

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Description and Tags

Calculus

Parametric Equations & polar Coordinates

16 Terms

1
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r=a
circle
2
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r=a sin theta
circle above x-axis
3
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r= a cos theta
circle to the right of the y axis
4
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r= a theta
spiral
5
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r= a+/- b sin theta r = a +/- b cos theta
r= a+/- b sin theta

r = a +/- b cos theta
limacon
6
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r= a+/- b sin theta

r = a +/- b cos theta

a<b
limacon with inner loop
7
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r= a+/- b sin theta

r = a +/- b cos theta

a=b
cardiod
8
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r= a+/- b sin theta

r = a +/- b cos theta

a>b
dimpled limacon
9
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a >/= 2b
convex limavon
10
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r= a sin n theta

r = a cos n theta
roses
11
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r= a sin n theta

r = a cos n theta

r = a cos 2 theta
four-leaved rose
12
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r= a sin n theta

r = a cos n theta

r = a cos 3 theta
three leaved rose
13
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r= a sin n theta

r = a cos n theta

r = a cos 4 theta
eight leaved rose
14
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r= a sin n theta

r = a cos n theta

r= a cos 5 theta
five leaved rose
15
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r^2 = a^2 sin 2 theta
lemniscate not on the x axis (diagonal)
16
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r^2 = a^2 cos 2 theta
lemniscate on the x axis