Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve vertical? (Note: If there is more than one write them as a comma separated list) t= Write the point(s) at which the tangent is vertical. (Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4)) Use a graphing device to graph the curve and check your work. At which t value(s) is the tangent to this curve horizontal? (Note: If there is more than one write them as a comma separated list). Write the point(s) at which the tangent is horizontal.(Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4))

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
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Consider the parametric curve:
X
Y
Use a graphing device to graph the curve and check your work.
=
=
4-t²
t³ – 4t
At which t value(s) is the tangent to this curve vertical? (Note: If there is more than one write them as a comma separated list)
t =
Write the point(s) at which the tangent is vertical.(Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4))
At which t value(s) is the tangent to this curve horizontal? (Note: If there is more than one write them as a comma separated list).
t
Write the point(s) at which the tangent is horizontal. (Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4))
Transcribed Image Text:Consider the parametric curve: X Y Use a graphing device to graph the curve and check your work. = = 4-t² t³ – 4t At which t value(s) is the tangent to this curve vertical? (Note: If there is more than one write them as a comma separated list) t = Write the point(s) at which the tangent is vertical.(Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4)) At which t value(s) is the tangent to this curve horizontal? (Note: If there is more than one write them as a comma separated list). t Write the point(s) at which the tangent is horizontal. (Note: If there is more than one write them as a comma separated list, e.g. (1,2),(3,4))
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