Write a Polar Equation In $\mathrm { r }$ And $\theta$ Of a Hyperbola with the Focus at the Origin, with \theta

question 19

Multiple Choice

Write a polar equation in $\mathrm { r }$ and $\theta$ of a hyperbola with the focus at the origin, with the eccentricity 7 and directrix $r = - 12 \csc \theta$ .

• A)
• \(r = \frac { 84 } { 1 - 84 \sin \theta }\)
• B) \(r = \frac { 84 } { 1 - 7 \sin \theta }\)
• C) \(r = \frac { 84 } { 1 + 7 \sin \theta }\)
• D) \(r = \frac { 84 } { 1 - \sin \theta }\)
• E) \(r = \frac { 12 } { 1 + 12 \sin \theta }\)

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Definitions:

Milgram Experiments

A series of social psychology experiments conducted by Stanley Milgram, which measured the willingness of study participants to obey an authority figure who instructed them to perform acts conflicting with their personal conscience.

"Learners"

Individuals engaged in the process of gaining knowledge, understanding, or skill through study, experience, or teaching.

Cognitive Dissonance

The mental distress felt when possessing multiple contradictory beliefs, values, or attitudes.

Milgram Obedience Studies

A series of experiments that demonstrated a high level of obedience to authority figures, leading participants to perform acts conflicting with their personal conscience.