Find Three Additional Polar Representations of the Point $\left( - 5 , - \frac { 5 \pi } { 6 } \right)$

question 28

Multiple Choice

Find three additional polar representations of the point $\left( - 5 , - \frac { 5 \pi } { 6 } \right)$ , given in polar coordinates, using $- 2 \pi < \theta < 2 \pi$ .

• A) \(\left( - 5 , \frac { 7 \pi } { 6 } \right) , \left( - 5 , \frac { \pi } { 6 } \right) , \left( 5 , - \frac { 11 \pi } { 6 } \right)\)
• B) \(\left( - 5 , \frac { 7 \pi } { 6 } \right) , \left( - 5 , \frac { \pi } { 6 } \right) , \left( - 5 , - \frac { 11 \pi } { 6 } \right)\)
• C) \(\left( - 5 , \frac { 7 \pi } { 6 } \right) , \left( 5 , \frac { \pi } { 6 } \right) , \left( 5 , - \frac { 11 \pi } { 6 } \right)\)
• D) \(\left( 5 , \frac { 7 \pi } { 6 } \right) , \left( 5 , \frac { \pi } { 6 } \right) , \left( - 5 , - \frac { 11 \pi } { 6 } \right)\)
• E) \(\left( 5 , \frac { 7 \pi } { 6 } \right) , \left( - 5 , \frac { \pi } { 6 } \right) , \left( 5 , - \frac { 11 \pi } { 6 } \right)\)

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Definitions:

Seasonal Indexes

Quantitative measures that represent how a seasonal pattern affects the data over a specific period, often used in time series analysis to adjust predictions for seasonal effects.

Time Series

A continuous chain of data points, often resulting from measurements taken one after another within a certain timeframe.

Forecasting Models

Quantitative and qualitative techniques used to predict future events or data points based on historical trends and patterns.

Mean Absolute Deviation

A measure of dispersion in a dataset, calculated as the average distance between each data point and the mean of the data.