Consider the parametric curve C given by x = sin-1(5) y = 2/4 – t² where t e [-2, 2]. (a) Determine the values of t where C has horizontal and vertical tangent lines. (b) Set up, but do not evaluate the integral equal to the length of the arc of C from the point (0, 4) to the point (5,0).
Consider the parametric curve C given by x = sin-1(5) y = 2/4 – t² where t e [-2, 2]. (a) Determine the values of t where C has horizontal and vertical tangent lines. (b) Set up, but do not evaluate the integral equal to the length of the arc of C from the point (0, 4) to the point (5,0).
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![Consider the parametric curve C given by
x = sin-'(5)
= 2/4– t²
where t e (-2, 2].
(a) Determine the values of t where C has horizontal and vertical tangent lines.
(b) Set up, but do not evaluate the integral equal to the length of the arc of C from the point (0, 4)
to the point (5,0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa36623ab-d9f6-4a2d-9da0-07413a513a38%2Fd3eee2e8-1456-4c8f-ae01-3ffe5be01d4b%2Fdhs2kvk_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the parametric curve C given by
x = sin-'(5)
= 2/4– t²
where t e (-2, 2].
(a) Determine the values of t where C has horizontal and vertical tangent lines.
(b) Set up, but do not evaluate the integral equal to the length of the arc of C from the point (0, 4)
to the point (5,0).
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