Sketch the graph of the following equation. Include the directrix that corresponds to the focus at the origin. Label the vertices with appropriate polar coordinates. If the equation is an ellipse, label the center as we 16 4-4 sin 0 r= Find the polar coordinates of significant points on the graph. Select the correct choice below and fill in the answer boxes to complete your choice. (Type ordered pairs. Type exact answers, using as needed. Use angle measures greater than or equal to 0 and less than 2x. Use a comma to separate answers as needed.) OA. The graph is an ellipse. The polar coordinates for the vertices are The polar coordinates for the center are ⒸB. The graph is a parabola. The polar coordinates for the vertex are G

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sketch the graph of the following equation. Include the directrix that corresponds to the focus at the origin. Label the vertices with appropriate polar coordinates. If the equation is an ellipse, label the center as well.
16
4-4 sin 0
r=
AN
-12-
12
-1/
-12-
12
✔
TV
--12--
16
€
-12
Find the polar coordinates of significant points on the graph. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type ordered pairs. Type exact answers, using as needed. Use angle measures greater than or equal to 0 and less than 2. Use a comma to separate answers as needed.)
O A. The graph is an ellipse. The polar coordinates for the vertices are
The polar coordinates for the center are
OB. The graph is a parabola. The polar coordinates for the vertex are
12
Transcribed Image Text:Sketch the graph of the following equation. Include the directrix that corresponds to the focus at the origin. Label the vertices with appropriate polar coordinates. If the equation is an ellipse, label the center as well. 16 4-4 sin 0 r= AN -12- 12 -1/ -12- 12 ✔ TV --12-- 16 € -12 Find the polar coordinates of significant points on the graph. Select the correct choice below and fill in the answer boxes to complete your choice. (Type ordered pairs. Type exact answers, using as needed. Use angle measures greater than or equal to 0 and less than 2. Use a comma to separate answers as needed.) O A. The graph is an ellipse. The polar coordinates for the vertices are The polar coordinates for the center are OB. The graph is a parabola. The polar coordinates for the vertex are 12
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