Find equations of the osculating circles of the ellipse 9 x 2 + 4 y 2 = 36 at the points ( 2 , 0 ) and ( 0 , 3 ) . Use a graphing calculator or computer to graph the ellipse and both osculating circles on the same screen.
Find equations of the osculating circles of the ellipse 9 x 2 + 4 y 2 = 36 at the points ( 2 , 0 ) and ( 0 , 3 ) . Use a graphing calculator or computer to graph the ellipse and both osculating circles on the same screen.
Solution Summary: The author explains how to find the osculating circles of the given ellipse.
Find equations of the osculating circles of the ellipse
9
x
2
+
4
y
2
=
36
at the points
(
2
,
0
)
and
(
0
,
3
)
. Use a graphing calculator or computer to graph the ellipse and both osculating circles on the same screen.
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