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Deck 10: Section 6: Conics, Parametric Equations, and Polar Coordinates
Full screen (f)
Question
Find a polar equation for the ellipse with its focus at the pole and vertices 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find a polar equation for the parabola with its focus at the pole and vertex 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Identify the conic for the polar equation 
when 
.
A) hyperbola
B) parabola
C) ellipse
when .A) hyperbola
B) parabola
C) ellipse
Question
Identify the graph for the polar equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Pluto moves in an elliptical orbit with the sun at one of the foci. The length of half of the major axis is 
kilometers, and the eccentricity is 0.2488. Find the perihelion distance of Pluto from the sun. Round your answer to the nearest kilometers.
A) 8,873,174,401 kilometers
B) 7,375,412,800 kilometers
C) 4,436,587,201 kilometers
D) 4,436,587,200 kilometers
E) 8,873,174,399 kilometers
kilometers, and the eccentricity is 0.2488. Find the perihelion distance of Pluto from the sun. Round your answer to the nearest kilometers.A) 8,873,174,401 kilometers
B) 7,375,412,800 kilometers
C) 4,436,587,201 kilometers
D) 4,436,587,200 kilometers
E) 8,873,174,399 kilometers
Question
Identify the graph for the polar equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find a polar equation for the ellipse with its focus at the pole, eccentricity 
, and directrix 
.
A)
B)
C)
D)
E)
, and directrix .A)
B)
C)
D)
E)
Question
Find the distance from the pole to the directrix for the conic 
.
A)
B) 14
C)
D) 42
E) 7
.A)
B) 14
C)
D) 42
E) 7
Question
Find a polar equation for the hyperbola with its focus at the pole, eccentricity 
, and directrix 
.
A)
B)
C)
D)
E)
, and directrix .A)
B)
C)
D)
E)
Question
Find the eccentricity of the polar equation 
.
A) 78
B)
C) 26
D) 13
E)
.A) 78
B)
C) 26
D) 13
E)
Question
Find a polar equation for the parabola with its focus at the pole, eccentricity e = 1, and directrix 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the distance from the pole to the directrix for the conic 
.
A)
B)
C) 30
D)
E) 62
.A)
B)
C) 30
D)
E) 62
Question
Find a polar equation for the hyperbola with its focus at the pole and vertices 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the distance from the pole to the directrix for the conic 
.
A)
B) 32
C) 16
D)
E) 8
.A)
B) 32
C) 16
D)
E) 8
Question
Identify the graph for the polar equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the eccentricity of the polar equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the eccentricity of the polar equation 
.
A) 28
B) 14
C)
D)
E) 7
.A) 28
B) 14
C)
D)
E) 7
Question
Find the eccentricity and distance from the pole to the directrix of the conic. Then sketch and identify the graph. Use a graphing utility to confirm your results. 
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity: 3
Distance from pole to directrix:
The graph is an ellipse.
C) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
D) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
E) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity: 3
Distance from pole to directrix:
The graph is an ellipse.
C) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
D) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
E) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
Question
Find the eccentricity and distance from the pole to the directrix of the conic. Then sketch and identify the graph. Use a graphing utility to confirm your results. 
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
C) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
D) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
E) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
C) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
D) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
E) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
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Deck 10: Section 6: Conics, Parametric Equations, and Polar Coordinates
1
Find a polar equation for the ellipse with its focus at the pole and vertices .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
2
Find a polar equation for the parabola with its focus at the pole and vertex .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
3
Identify the conic for the polar equation when .
A) hyperbola
B) parabola
C) ellipse
when .A) hyperbola
B) parabola
C) ellipse
hyperbola
4
Identify the graph for the polar equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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5
Pluto moves in an elliptical orbit with the sun at one of the foci. The length of half of the major axis is kilometers, and the eccentricity is 0.2488. Find the perihelion distance of Pluto from the sun. Round your answer to the nearest kilometers.
A) 8,873,174,401 kilometers
B) 7,375,412,800 kilometers
C) 4,436,587,201 kilometers
D) 4,436,587,200 kilometers
E) 8,873,174,399 kilometers
kilometers, and the eccentricity is 0.2488. Find the perihelion distance of Pluto from the sun. Round your answer to the nearest kilometers.A) 8,873,174,401 kilometers
B) 7,375,412,800 kilometers
C) 4,436,587,201 kilometers
D) 4,436,587,200 kilometers
E) 8,873,174,399 kilometers
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
6
Identify the graph for the polar equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
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7
Find a polar equation for the ellipse with its focus at the pole, eccentricity , and directrix .
A)
B)
C)
D)
E)
, and directrix .A)
B)
C)
D)
E)
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
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8
Find the distance from the pole to the directrix for the conic .
A)
B) 14
C)
D) 42
E) 7
.A)
B) 14
C)
D) 42
E) 7
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9
Find a polar equation for the hyperbola with its focus at the pole, eccentricity , and directrix .
A)
B)
C)
D)
E)
, and directrix .A)
B)
C)
D)
E)
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Unlock for access to all 19 flashcards in this deck.
Unlock Deck
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10
Find the eccentricity of the polar equation .
A) 78
B)
C) 26
D) 13
E)
.A) 78
B)
C) 26
D) 13
E)
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11
Find a polar equation for the parabola with its focus at the pole, eccentricity e = 1, and directrix .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock for access to all 19 flashcards in this deck.
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12
Find the distance from the pole to the directrix for the conic .
A)
B)
C) 30
D)
E) 62
.A)
B)
C) 30
D)
E) 62
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13
Find a polar equation for the hyperbola with its focus at the pole and vertices .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock for access to all 19 flashcards in this deck.
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14
Find the distance from the pole to the directrix for the conic .
A)
B) 32
C) 16
D)
E) 8
.A)
B) 32
C) 16
D)
E) 8
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15
Identify the graph for the polar equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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16
Find the eccentricity of the polar equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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17
Find the eccentricity of the polar equation .
A) 28
B) 14
C)
D)
E) 7
.A) 28
B) 14
C)
D)
E) 7
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18
Find the eccentricity and distance from the pole to the directrix of the conic. Then sketch and identify the graph. Use a graphing utility to confirm your results.
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity: 3
Distance from pole to directrix:
The graph is an ellipse.
C) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
D) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
E) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity: 3
Distance from pole to directrix:
The graph is an ellipse.
C) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
D) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
E) eccentricity: 3
Distance from pole to directrix:
The graph is a hyperbola.
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19
Find the eccentricity and distance from the pole to the directrix of the conic. Then sketch and identify the graph. Use a graphing utility to confirm your results.
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
C) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
D) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
E) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
A) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
B) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
C) eccentricity:
Distance from pole to directrix:
The graph is a hyperbola.
D) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
E) eccentricity:
Distance from pole to directrix:
The graph is an ellipse.
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
