Select the Graph of the Polar Equation Using Symmetry,zeros,maximum R-Values,and $$r = 4 \sin ( 2 \theta )$$

question 12

Multiple Choice

Select the graph of the polar equation using symmetry,zeros,maximum r-values,and any other additional points.​ $$r = 4 \sin ( 2 \theta )$$ ​

• A)Symmetric with respect to \[\theta = \frac { \pi } { 2 }\] ,the polar axis,and the pole \[\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array}\] ​
• B)Symmetric with respect to \[\theta = \frac { \pi } { 2 }\] ,the polar axis,and the pole \[\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array}\] ​
• C)Symmetric with respect to \[\theta = \frac { \pi } { 2 }\] ,the polar axis,and the pole \[\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array}\] ​
• D)Symmetric with respect to \[\theta = \frac { \pi } { 2 }\] ,the polar axis,and the pole \[\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array}\] ​
• E)Symmetric with respect to \[\theta = \frac { \pi } { 2 }\] ,the polar axis,and the pole \[\begin{array} { c } | r | = 4 \text { when } \theta = \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \\ r = 0 \text { when } \theta = 0 , \frac { \pi } { 2 } , \pi \end{array}\] ​

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Definitions:

Expected-Rate-of-Return Curve

A graphical representation showing the range of possible returns on an investment, based on various scenarios or assumptions.

R&D Expenditures

Funds allocated towards research and development activities with the aim of introducing new products or improving existing ones.

Optimal Amount

The most efficient, effective, or desirable quantity of a good or resource to achieve a specific goal or maximize utility.

R&D

Research and Development; activities in businesses and organizations aimed at gaining new knowledge and applying it to develop new products, services, or processes.