Find the unit tangent vector to the curve defined by7(t) = (4 cos(t), 4 sin(t), 5 sin°(t))%3D37at t%3|4F()-37Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t4z(t)y(t) =z(t) =

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Answered: Find the unit tangent vector to the…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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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 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) =