The equation of rectifying, osculating, and normal planes of r (1) = e' i+e cos tj+e sint k, 1= 0 rectifying: y+ x = -1 osculating: 2x – y – z = 1 normal: x + y +z 2 rectifying: - y+ z = -1 osculating: 2x – y - z = 1 normal: x + y + z = 2 rectifying: y+ z = -1 osculating: 2x – y - z = -1 normal: x + y + z = 2 rectifying: - y+x = -1 osculating: 2x - y-z = 1 normal: x + y +z = 2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 20E
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The equation of rectifying, osculating,
and normal planes of
r(t) = e' i+e cost j+e' sint k, t = 0
rectifying: y+x = -1
osculating: 2x – y – z = 1
normal: x + y+z = 2
rectifying: - y+ z = -1
osculating: 2x – y – z = 1
normal: x +y+ z = 2
rectifying: y+z = -1
osculating: 2x – y - z = -1
normal: x + y + z = 2
rectifying: - y +x = -1
osculating: 2x – y- z = 1
normal: x + y+z = 2
Transcribed Image Text:The equation of rectifying, osculating, and normal planes of r(t) = e' i+e cost j+e' sint k, t = 0 rectifying: y+x = -1 osculating: 2x – y – z = 1 normal: x + y+z = 2 rectifying: - y+ z = -1 osculating: 2x – y – z = 1 normal: x +y+ z = 2 rectifying: y+z = -1 osculating: 2x – y - z = -1 normal: x + y + z = 2 rectifying: - y +x = -1 osculating: 2x – y- z = 1 normal: x + y+z = 2
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,