Find the Point(s) of Intersection of the Curves $r = 2$

question 39

Multiple Choice

Find the point(s) of intersection of the curves $r = 2$ and $r = 4 \cos \theta$ .

• A) \(\left( 2 , \frac { \pi } { 6 } \right) , \left( 2 , - \frac { \pi } { 6 } \right)\)
• B) \(\left( 2 , \frac { \pi } { 4 } \right) , \left( 2 , - \frac { \pi } { 4 } \right)\)
• C) \(\left( 2 , \frac { \pi } { 3 } \right) , \left( 2 , - \frac { \pi } { 3 } \right)\)
• D) \(\left( 2 , \frac { \pi } { 6 } \right)\)
• E) \(\left( 2 , \frac { \pi } { 3 } \right)\)

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Definitions:

Resampling Method

A statistical technique that involves taking repeated samples from observed data, used for estimation or testing hypotheses.

Bootstrap

A statistical method that involves resampling with replacement from a dataset to assess variability in a statistic.

Permutation

A permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.

Income

Financial gain accumulated over a period, such as wages from employment, profits from investments, or returns from assets.