the instructions request approximations, or as part of checking your own work. 1. a) Find the equation of the tangent line to the curve given by F(t) = (cos(at), t, 1+t²), for t € (0, 4], at the point P = (1, 2, 5). Be sure that your answer is the equation of a line. b) Find both the unit tangent vector Ť and the unit normal vector Ñ to the curve at the point P.
the instructions request approximations, or as part of checking your own work. 1. a) Find the equation of the tangent line to the curve given by F(t) = (cos(at), t, 1+t²), for t € (0, 4], at the point P = (1, 2, 5). Be sure that your answer is the equation of a line. b) Find both the unit tangent vector Ť and the unit normal vector Ñ to the curve at the point P.
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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Currently need help with part b only
(Part A answer can be found here)
https://www.bartleby.com/questions-and-answers/1.-a-find-the-equation-of-the-tangent-line-to-the-curve-given-by-ft-cosnt-t-1-t2-for-t-e-0-4-at-the-/afdab525-e14c-4b15-b87b-a9286ab49a5e
![Don't round answers unless
the instructions request approximations, or as part of checking your
own work.
1. a) Find the equation of the tangent line to the curve given by
F(t) = (cos(rt), t, 1+t?),
for t € [0, 4],
at the point P = (1, 2, 5). Be sure that your answer is the equation of
a line.
b) Find both the unit tangent vector T and the unit normal vector
Ñ to the curve at the point P.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30ca3be0-068e-43ad-a298-b773b9e628c6%2F3aa657cd-051c-40d7-a166-c718679db9a0%2F71b1bv_processed.png&w=3840&q=75)
Transcribed Image Text:Don't round answers unless
the instructions request approximations, or as part of checking your
own work.
1. a) Find the equation of the tangent line to the curve given by
F(t) = (cos(rt), t, 1+t?),
for t € [0, 4],
at the point P = (1, 2, 5). Be sure that your answer is the equation of
a line.
b) Find both the unit tangent vector T and the unit normal vector
Ñ to the curve at the point P.
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