Write a polar equation of the ellipse that has eccentricity {image} and whose directrix is the line x = 35. Choose the answer from the following : 1. 2.

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Write a polar equation of the ellipse that has eccentricity {image} and whose directrix is the line x = 35. Choose the answer from the following : 1. 2. {image} 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Write a polar equation of the hyperbola that has eccentricity 3 and whose directrix is the line {image} Choose the answer from the following : 1. 2. {image} 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the eccentricity and identify the conic {image} Choose the answer from the following : 5, hyperbola 9, hyperbola 9, ellipse 5, ellipse 5, parabola 9, parabola 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Select the correct graph of the following parabola and its directrix: {image} . 1. 2. {applet} 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The planets move around a star in elliptical orbits with the star at one focus. The positions of a planet that are closest to, and farthest from, the star are called its perihelion and aphelion, respectively. If the distance from one planet to the star is 3.75 x 10 7 km at perihelion and 5.72 x 10 7 km at aphelion, find the eccentricity of the orbit of the planet. Select the correct answer (rounded to three decimal places): 0.208 4.807 0.104 1.000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50