Write a Polar Equation In $r$ And $\theta$ Of an Ellipse with the Focus at the Origin, with Ellipse

question 65

Multiple Choice

Write a polar equation in $r$ and $\theta$ of an ellipse with the focus at the origin, with the eccentricity $0.8$ and vertex at $\left( 1 , \frac { \pi } { 2 } \right)$ .

• A) \(r = \frac { 1.8 } { 1 - 4 \cos \theta }\)
• B) \(r = \frac { 9 } { 1 + 4 \sin \theta }\)
• C)
• \(r = \frac { 1.8 } { 5 - 4 \cos \theta }\)
• D)
• \(r = \frac { 9 } { 5 + 4 \sin \theta }\)
• E)
• \(r = \frac { 9 } { 5 - 4 \cos \theta }\)

Understand the implications of universal and particular propositions in the context of existent subjects and predicates.

Master the translation of verbal propositions into Venn diagram representations.

Comprehend the limitations and capabilities of Venn diagrams in depicting logical relationships.

Identify equivalent propositions through the analysis of Venn diagrams.

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Definitions:

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Johari Window

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