Select the Polar Equation of the Conic for E = $r = \frac { 2 e } { 1 - e \sin \theta }$

question 501

Multiple Choice

Select the polar equation of the conic for e = 1.0 and identify the conic for the following equation. $r = \frac { 2 e } { 1 - e \sin \theta }$

• A) \(r = \frac { 2 } { 1 - \sin \theta } \Rightarrow \text { parabola }\)
• B) \(r = \frac { 1 } { 1 + \sin \theta } \Rightarrow \text { hyperbola }\)
• C) \(r = \frac { 2 } { 1 - 2 \sin \theta } \Rightarrow \text { hyperbola }\)
• D) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { parabola }\)
• E) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { hyperbola }\)

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Definitions:

Nitrogen Monoxide

A colorless gas with the formula NO; it is an important signaling molecule in the body and contributes to various biological processes.

Reaction Rate

The speed at which a chemical reaction occurs, typically expressed in terms of the concentration of reactants consumed or products formed over time.

Surface Area

The total area that the surface of an object occupies, impacting its chemical reactivity and physical interactions.

Kinetic Energy

The energy possessed by an object due to its motion, calculated as one half the mass times the velocity squared.