1. 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

2. 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

3. 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

4. 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

5. 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