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)
• \(r = \frac { 9 } { 5 - 4 \cos \theta }\)

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Definitions:

2000 Presidential Election

A highly contested election in the United States, ultimately decided by the Supreme Court, resulting in George W. Bush winning the presidency over Al Gore.

Recount

The process of counting votes again in an election, often triggered by the initial results being extremely close or disputed.

United States Supreme Court

is the highest court in the United States, with ultimate appellate authority over all federal and state court cases involving matters of federal law.

2000 Presidential Election

A United States presidential election where George W. Bush narrowly defeated Al Gore, marked by controversies over the vote count in Florida.