Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 cos(t), y = 4 sin(t), z = 4 cos(2t); (2/3, 2, 2) y(t), z(t !! Illustrate by graphing both the curve and the tangent line on a common screen.

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 36E
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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.
x = 4 cos(t), y = 4 sin(t), z = 4 cos(2t); (2/3, 2, 2)
(r), vt), z)
Illustrate by graphing both the curve and the tangent line on a common screen.
14
-2 0
2.
4
y
-5
10
-10
00.3.9520
10
Transcribed Image Text:Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 cos(t), y = 4 sin(t), z = 4 cos(2t); (2/3, 2, 2) (r), vt), z) Illustrate by graphing both the curve and the tangent line on a common screen. 14 -2 0 2. 4 y -5 10 -10 00.3.9520 10
10
10
20
10
10
-10
-10
10
20
10
-10
10
5
Transcribed Image Text:10 10 20 10 10 -10 -10 10 20 10 -10 10 5
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