Find the unit tangent vector to the curve defined by 7(t) = (4 cos(t), 4 sin(t), 5 sin°(t)) %3D 37 at t %3| 4 r(부) - 37 Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t = 4 z(t) y(t) = z(t) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the unit tangent vector to the curve defined by
7(t) = (4 cos(t), 4 sin(t), 5 sin°(t))
%3D
37
at t
%3|
4
F()-
37
Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t
4
z(t)
y(t) =
z(t) =
Transcribed Image Text:Find the unit tangent vector to the curve defined by 7(t) = (4 cos(t), 4 sin(t), 5 sin°(t)) %3D 37 at t %3| 4 F()- 37 Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t 4 z(t) y(t) = z(t) =
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