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

question 289

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, estimate the closest approach of Pluto's orbit, for which a = 39.4 and e = 0.249, to the sun.

• A) About 39 astronomical units
• B) About 74 astronomical units
• C) About 30 astronomical units
• D) About 50 astronomical units

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Definitions:

Difference Threshold

The minimum difference in stimulation that a person can detect 50% of the time.

Just Noticeable Difference (Jnd)

The least alteration in a stimulus that is just noticeable by an organism.

Absolute Threshold

The minimum stimulus intensity required for detection by a sense organ, signifying the point at which a stimulus becomes perceptible to the senses.

Noticeable Threshold

A threshold is the level at which a stimulus becomes sufficiently strong to produce a discernible effect or reaction.