Precalc Chapter 10

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Last updated 2:33 AM on 5/19/26
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21 Terms

1
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x in polar form

rcostheta

2
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y in polar form

rsintheta

3
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(y-k)2 =4a(x-h)

parabola that opens right

4
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(y-k)2 =-4a(x-h)

parabola that opens left

5
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(x-h)2 =4a(y-k)

parabola that opens up

6
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(x-h)2 =-4a(y-k)

parabola that opens down

7
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a2 =b2 +c2

components of ellipse

8
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c2 =a2 +c2

components of hyperbola

9
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y=(b/a)x

asymptote of hyperbola with transverse along x

10
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y=(a/b)x

asymptote of hyperbola with transverse along y

11
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r=ep/1+ecostheta

directrix perpendicular, p units to the right

12
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r=ep/1-ecostheta

directrix perpendicular, p units to the left

13
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r=ep/1+esintheta

directrix parallel, p units above

14
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r=ep/1-esintheta

directrix parallel, p units below

15
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B2 -4AC=0

parabola

16
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B2 -4AC<0

Ellipse

17
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B2 -4AC>0

Hyperbola

18
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x’cos-y’sin

rotation for x

19
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x’sin+y’cos

rotation for y

20
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32ft/sec2 ; 9.8m/sec2

g constant of acceleration

21
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c/a

eccentricity