Find the Polar Coordinates of the Point(s) of Intersection of the Given

question 138

Multiple Choice

Find the polar coordinates of the point(s) of intersection of the given curves for 0 $$0 \leq \theta < 2 \pi$$
- $$r = \frac { a \left( 1 - e ^ { 2 } \right) } { 1 + e \cos \theta }$$ Given that the polar equation r models the orbits of the planets, compare Earth's orbit relative to the sun with that of Pluto and describe the difference. For Earth, a = 1.00 and e = 0.017.
For Pluto, a = 39.4 and e = 0.249.

• A) Earth's orbit closely approximates a circle with the sun positioned at its center. Pluto's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from
• The center.
• B) Earth circles the sun, but Pluto does not.
• C) The orbits of Earth and Pluto are both circular, with the sun positioned at their centers, but the diameter of Pluto's orbit is about 40 times that of Earth.
• D) Pluto's orbit closely approximates a circle with the sun positioned at its center. Earth's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from
• The center.

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Definitions:

Variable Costs

Costs that vary in proportion to changes in the activity base.

Differential Cost

The difference in total cost that will result from selecting one alternative over another in decision-making situations.

Intermediate Product

A product that requires further processing before it is considered a finished good ready for sale to consumers.

Equipment-Replacement Decision

The process of determining whether to repair, maintain, or replace equipment, considering factors like costs, efficiency, and technological advancements.