Write a polar equation in r and {image} of a parabola with the focus at the origin and directrix x = 2.

1
Write a polar equation in r and image of a
parabola with the focus at the origin and
directrix x 2.

1. image
2. image
3. image
4. image
5. image

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2
Write a polar equation in r and image of a
hyperbola with the focus at the origin, with the
eccentricity 2 and the directrix x - 9.

1. image
2. image
3. image
4. image

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3
Find the eccentricity of the conic. image

1. image
2. image
3. image
4. image

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4
Classify the conic. image

1. parabola
2. hyperbola
3. ellipse
4. circle

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5
The orbit of Halley?s comet, last seen in 1986
and due to return in 2062, is an ellipse with
eccentricity 0.98 and one focus at the Sun. The
length of its major axis is 36.19 AU. An
astronomical unit (AU) is the mean distance
between Earth and the Sun, about 93 million
miles. Find the maximum distance from the comet
to the Sun. (The perihelion distance from a
planet to the Sun is a(1 - e) and the aphelion
distance is a(1 e) .) Find the answer in AU and
round to the nearest hundredth.

1. 39.27 AU
2. 35.83 AU
3. 35.10 AU

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6
The distance from the planet Mercury to the Sun
is image km at perihelion and image km at
aphelion. If the perihelion distance from a
planet to the Sun is a(1 - e) and the aphelion
distance is a(1 e), find the eccentricity of
Mercury's orbit. Round your answer to three
decimal places.

1. e0.214
2. e0.074
3. e0.258
4. e0.173

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