Find all points (if any) of horizontal and vertical tangency to the portion of the curve shown. (Enter your answers as a comma-separated list.) x = cos 0 + 0 sin 0 y cos 0 sin -2π < θ = 2π horizontal tangents vertical tangents 0 = -8-6 0 = ++ |(−1, π), (−1, — π), (1,2π), (1, — 2π) X -3π ( ¹ ) ( -5 -¹) (3,¹),( -, -1) 2 4- 2- ++X 468 X
Find all points (if any) of horizontal and vertical tangency to the portion of the curve shown. (Enter your answers as a comma-separated list.) x = cos 0 + 0 sin 0 y cos 0 sin -2π < θ = 2π horizontal tangents vertical tangents 0 = -8-6 0 = ++ |(−1, π), (−1, — π), (1,2π), (1, — 2π) X -3π ( ¹ ) ( -5 -¹) (3,¹),( -, -1) 2 4- 2- ++X 468 X
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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Transcribed Image Text:Find all points (if any) of horizontal and vertical tangency to the portion of the curve shown. (Enter your answers as a comma-separated list.)
x = cos 0 + 0 sin 0
y = sin 0 - 0 cos 0
−2π < θ < 2π
horizontal tangents
vertical tangents
e = (-1, π),(-1,- π), (1,2), (1, - 2n)
-8-6
8 =
++
8
4
2
-3π
( ½‚¹), ( – 5, -¹), (³, ¹). ( -³, -1)
1).(
2
2
-4
++ X
468
X
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