1. a) Find the equation of the tangent line to the curve given by F(t) = (cos(nt), t, 1 + t2), for t e [0, 4], at the point P= (1,2, 5). Be sure that your answer is the equation of a line.
1. a) Find the equation of the tangent line to the curve given by F(t) = (cos(nt), t, 1 + t2), for t e [0, 4], at the point P= (1,2, 5). Be sure that your answer is the equation of a line.
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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![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%2Fafdab525-e14c-4b15-b87b-a9286ab49a5e%2Ff1zrbrc_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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