Test the Equation for Symmetry with Respect to the Given $r = 4 \cos \theta ;$

question 142

Multiple Choice

Test the equation for symmetry with respect to the given axis, line, or pole.
- $r = 4 \cos \theta ;$ the line $\theta = \frac { \pi } { 2 }$

• A) May or may not be symmetric with respect to the line \(\theta = \frac { \pi } { 2 }\)
• B) Symmetric with respect to the line \(\theta = \frac { \pi } { 2 }\)

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Definitions:

Demand Curve

A graph showing the relationship between the price of a good and the quantity demanded by consumers, usually downward sloping to the right indicating inverse relationship between price and quantity demanded.

Normal Good

A good for which demand increases as the income of the consumer increases, and vice versa.

Income Increase

Refers to a rise in the amount of money earned by an individual or entity, which can affect purchasing power and economic status.

Demand Curve

A graphical representation showing the relationship between the price of an item and the quantity demanded at those prices.