Curve Conic Section Eccentricity Directrix Orientation

1. Complete the following table for each of the following curves: (2 pts. each) # Curve Conic Section Eccentricity Directrix Orientation le a. r= 1 3(1 + sine) 13 b. r = 3 2 + 2 cos 2. Identify the conic section and write in standard form its polar equation if the conic section has its focus at the pole, an eccentricity of 5/2 , and a directrix of y = -4. (10 pts.) 3. Mars has a perihelion distance of 204,520,000 km and an aphelion distance of 246,280,000 km. a. Use this data to calculate the eccentricity of Mars orbit. (5 pts.) b. Compute the period of Mars. (7 pts.) C. Choose a polar coordinate system with the center of the Sun at the pole, and determine an equation for the orbit of Mars in that coordinate system. (10 pts.)
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