Consider the parametric curve C given by X= √x= √2+ - cos t 2y = soin't where te [0.2π] (1) Determine the values of t where C has horizontal and vertical tangent lines. (2) Set up, but do not evaluate the integral equal to the length of the arch of C from the point (-1,0) to the point (3,5).
Consider the parametric curve C given by X= √x= √2+ - cos t 2y = soin't where te [0.2π] (1) Determine the values of t where C has horizontal and vertical tangent lines. (2) Set up, but do not evaluate the integral equal to the length of the arch of C from the point (-1,0) to the point (3,5).
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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![Consider the parametric curve C given by
2y = 5oin²t
where te [0.2π]
(1) Determine the values of t where C has horizontal and vertical tangent lines.
(2.) Set up, but do not evaluate the integral equal to the length of the arch of C
from the point (-1,0) to the point (3,5).
√3
Cos t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57ecb5ae-9f29-4163-bf6c-6628639e838c%2F8c1c5be9-f3ab-4cb2-a51b-11b5e4a7f412%2Fudel8sf_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the parametric curve C given by
2y = 5oin²t
where te [0.2π]
(1) Determine the values of t where C has horizontal and vertical tangent lines.
(2.) Set up, but do not evaluate the integral equal to the length of the arch of C
from the point (-1,0) to the point (3,5).
√3
Cos t
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