Select the Graph of the Polar Equation Using Symmetry, Zeros $r = 2 + 6 \sin \theta$

question 67

Multiple Choice

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. $r = 2 + 6 \sin \theta$

• A) Symmetric with respect to \(\theta = \frac { \pi } { 2 }\) \(| r | = 8\) when \(\theta = \frac { \pi } { 2 }\) \(r = 0\) when \(\theta = \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• B) Symmetric with respect to \(\theta = \frac { \pi } { 2 }\) \(| r | = 8\) when \(\theta = \frac { \pi } { 2 }\) \(r = 0\) when \(\theta = \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• C) Symmetric with respect to \(\theta = \frac { \pi } { 2 }\) \(| r | = 8\) when \(\theta = \frac { \pi } { 2 }\) \(r = 0\) when \(\theta = \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• D) Symmetric with respect to \(\theta = \frac { \pi } { 2 }\) \(| r | = 8\) when \(\theta = \frac { \pi } { 2 }\) \(r = 0\) when \(\theta = \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)
• E) Symmetric with respect to \(\theta = \frac { \pi } { 2 }\) \(| r | = 8\) when \(\theta = \frac { \pi } { 2 }\) \(r = 0\) when \(\theta = \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 }\)

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Definitions:

Success

The accomplishment of an aim or purpose.

Probability Distribution

A function that describes the likelihood of obtaining the possible values that a random variable can assume.

Expected Value

The long-run average value of a random variable over numerous trials, a fundamental concept in probability.

Repeats Of The Experiment

The multiple performances of an experimental procedure to verify the initial results and to reduce the impacts of random errors.