The Letters R and θ Represent Polar Coordinates $$\mathrm { r } = 1 + 2 \sin \theta$$

question 231

Multiple Choice

The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y) .
- $$\mathrm { r } = 1 + 2 \sin \theta$$

• A) \(\sqrt { x ^ { 2 } + y ^ { 2 } } = x ^ { 2 } + y ^ { 2 } + 2 y\)
• B) \(x ^ { 2 } + y ^ { 2 } = \sqrt { x ^ { 2 } + y ^ { 2 } } + 2 y\)
• C) \(x ^ { 2 } + y ^ { 2 } = \sqrt { x ^ { 2 } + y ^ { 2 } } + 2 x\)
• D) \(\sqrt { x ^ { 2 } + y ^ { 2 } } = x ^ { 2 } + y ^ { 2 } + 2 x\)

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Definitions:

Measures of Variability

Statistical metrics that describe the spread or dispersion within a data set, including range, variance, and standard deviation.

Coefficient of Variation

A normalized measure of the dispersion of a probability distribution or frequency distribution, often used to compare the degree of variation from one data series to another.

Standard Deviation

A measure of the dispersion or spread of a set of numbers, indicating how much variation there is from the average.

Standard Deviations

An indicator of how widely values in a dataset are spread out from the average, showing the degree to which these numbers vary from their mean.