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Select the Graph of the Polar Equation Using Symmetry, Zeros r=4sin(2θ)r = 4 \sin ( 2 \theta )

Question 104

Multiple Choice

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


A) Symmetric with respect to θ=π2\theta = \frac { \pi } { 2 } , the polar axis, and the pole r=4 when θ=π4,3π4,5π4,7π4r=0 when θ=0,π2,π\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}  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}
B) Symmetric with respect to θ=π2\theta = \frac { \pi } { 2 } , the polar axis, and the pole r=4 when θ=π4,3π4,5π4,7π4r=0 when θ=0,π2,π\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}  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}
C) Symmetric with respect to θ=π2\theta = \frac { \pi } { 2 } , the polar axis, and the pole r=4 when θ=π4,3π4,5π4,7π4r=0 when θ=0,π2,π\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}  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}
D) Symmetric with respect to θ=π2\theta = \frac { \pi } { 2 } , the polar axis, and the pole r=4 when θ=π4,3π4,5π4,7π4r=0 when θ=0,π2,π\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}  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}
E) Symmetric with respect to θ=π2\theta = \frac { \pi } { 2 } , the polar axis, and the pole r=4 when θ=π4,3π4,5π4,7π4r=0 when θ=0,π2,π\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}  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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