Consider the following two parametric curves in R³: for 0 < t < 2 and 2 (x(s), y(s), z(s)) = (3+ (3+² cos((a+1)),2-8,1-8) °r-1<8<1. ¯>¯¯\ND OXO OXO OXO OXÍ These curves intersect when t = and s = The equation of the plane tangent to both curves at their point of intersection may be expressed as expressed as x+ y+ 0 (x(t), y(t), z(t)) = (3, 2, t) OXMORAO1
Consider the following two parametric curves in R³: for 0 < t < 2 and 2 (x(s), y(s), z(s)) = (3+ (3+² cos((a+1)),2-8,1-8) °r-1<8<1. ¯>¯¯\ND OXO OXO OXO OXÍ These curves intersect when t = and s = The equation of the plane tangent to both curves at their point of intersection may be expressed as expressed as x+ y+ 0 (x(t), y(t), z(t)) = (3, 2, t) OXMORAO1
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
![17 of 33
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Consider the following two parametric curves in R³:
(x(t), y(t), z(t)) = (3, 2, t) B
for 0 < t < 2 and
2
(e(s), y(s), 2(s)) = (3+² cos((s+1), 2-8,1-8)
OND OND OXO OND OND OND
D
for -1 < s < 1.
These curves intersect when t =
and s=
JJ OND OND OND OND
The equation of the plane tangent to both curves at their point of intersection may be expressed as
x +
y +
2 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97b652fc-cbf7-4903-96da-3b4650a71f93%2F54bf7b0b-05dc-486c-b4e2-a68a804e2de9%2Fsvatt4i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:17 of 33
|
Consider the following two parametric curves in R³:
(x(t), y(t), z(t)) = (3, 2, t) B
for 0 < t < 2 and
2
(e(s), y(s), 2(s)) = (3+² cos((s+1), 2-8,1-8)
OND OND OXO OND OND OND
D
for -1 < s < 1.
These curves intersect when t =
and s=
JJ OND OND OND OND
The equation of the plane tangent to both curves at their point of intersection may be expressed as
x +
y +
2 =
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