Chapter 8 Graphs

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Last updated 8:53 AM on 3/27/26
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19 Terms

1
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limaçons

inner loop

a/b<1

2
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<p></p>

limaçons

cardioid

a/b=1

3
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limaçons

dimpled

1<a/b<2

4
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limaçons

not dimpled

a/b≥2

5
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limaçons graphs

r = a±bcosθ
r = a±bsinθ
a>0, b>0

6
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rose curves

r = acos3θ

7
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rose curves

r = asin5θ

8
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rose curves

r = asin2θ

9
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rose curves

r = acos4θ

10
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rose curves equation

r = acosnθ
r = asinnθ
a>0

11
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rose curves petals

odd n → n petals
even n → 2n petals

12
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circle

r = acosθ

13
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circle

r = asinθ

14
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circle

r² = a²sin2θ

15
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circle

r² = a²cos2θ

16
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spiral

r=aθ

θ≥0

17
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spiral

r=a

0≤0

0<a<1

k>0

18
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circles and lemniscates

a>0

19
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spirals

a>0

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