Final answer:
To determine the conic section and eccentricity of the given polar equation, convert it to Cartesian coordinates and simplify. Based on the resulting equations, identify the conic section using the general form of a parabola.
Step-by-step explanation:
To determine the conic section and eccentricity, we will convert the polar equation to Cartesian coordinates. Using the conversion formulas x = r*cos(θ) and y = r*sin(θ), we substitute r = (6/2) + sin(θ) and simplify. This gives us x = (3 + 6*sin(θ))*cos(θ) and y = (3 + 6*sin(θ))*sin(θ). From the resulting equations, we can determine the conic section based on the general form of a parabola, x = ay^2 + by + c.