O cos 51n 30 2 450 60°1/2 T Rax Ō o make with positive X-axLs and loQI = r =6. Point Q has coordinates (x,y) where x = r cos ☺ =373 y=rsin @=3. Use these coordling tes. 'for Q and that the tangent lino to the graph at Q is Vertical. angle of 7 =30° an and rz472 to show
O cos 51n 30 2 450 60°1/2 T Rax Ō o make with positive X-axLs and loQI = r =6. Point Q has coordinates (x,y) where x = r cos ☺ =373 y=rsin @=3. Use these coordling tes. 'for Q and that the tangent lino to the graph at Q is Vertical. angle of 7 =30° an and rz472 to show
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Use coordinates to find tangent line. See images
Transcribed Image Text:Cos SIn
30 2
450 D
60°1/2 Jv3
of ə =3o°
and lool= r =6.
Ray Ō ŏ make
with positive X-axLs.
Point Q has coordinates (x,y) where
x = rcos Ô =373
y=r sin Ô =3, Use these coordingtes
for Q and
that 'the tangent line to the qraph
at Q is vertical.
an
%3D
and
%3D
rz47z to show
Transcribed Image Text:The graph shows the bifolum:
(x?+y
2
2.
I6x?y
(1)
ニ
Equivalently:
(x, x) = (r cos o, r sin
Q) where
r=16 cos? @ sin @ for O< @ Ś 180"
600
(x.y)
hyp r
300
adj =x=r cos 0
2 V3
opp-yr sin 0
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