d²y dx² Let x = 7t², y=5t6 – 8t². Determine as a function of t, then find the concavity to the parametric curve at t = 5. (Hint: It would be helpful to simplify dy dx d²y as much as possible before finding .) dx d²y dx d²y (5) = dr²

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
Question
d²y
dx²
Let x = 7t², y=5t6 – 8t².
Determine as a function of t, then find the concavity to the parametric curve at t = 5. (Hint: It
would be helpful to simplify
dy
dx
d²y
as much as possible before finding
.)
dx
d²y
dx
d²y
(5) =
dr²
Transcribed Image Text:d²y dx² Let x = 7t², y=5t6 – 8t². Determine as a function of t, then find the concavity to the parametric curve at t = 5. (Hint: It would be helpful to simplify dy dx d²y as much as possible before finding .) dx d²y dx d²y (5) = dr²
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