dy d.x || (a) Find dy dx expressed as a function of t for the given the parametric equations: X Y = = COS9 ⁹ (t) 5 sin² (t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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dy
dx
(b) Find
||
-
d²y
dx²
(a) Find
d²y
dx²
dx
Concave
expressed as a function of t for the given the parametric equations:
expressed as a function of t.
X
Y
=
=
cos⁹ (t)
5 sin² (t)
dy
(c) Except for at the points where is undefined, is the curve concave up or concave down? (Enter 'up' or 'down').
dx
Transcribed Image Text:dy dx (b) Find || - d²y dx² (a) Find d²y dx² dx Concave expressed as a function of t for the given the parametric equations: expressed as a function of t. X Y = = cos⁹ (t) 5 sin² (t) dy (c) Except for at the points where is undefined, is the curve concave up or concave down? (Enter 'up' or 'down'). dx
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