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

question 50

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:

Z-Statistic

A statistical measure that represents the number of standard deviations a data point is from the mean of a data set, used for hypothesis testing in standardized situations.

P-Value

The probability of obtaining test results at least as extreme as the results actually observed, assuming that the null hypothesis is true.

Significance Level

The threshold against which the p-value is judged to determine statistical significance, often denoted by alpha (α) and commonly set at 0.05 or 5%.

Significance Level

A threshold or probability used in statistical hypothesis testing to determine whether to reject the null hypothesis, often denoted by alpha with a common value of 0.05.