(a) Given a cylinder x² + y² = 1 and a plane x + z = 1. Find a vector-valued function r(t) that represents the curve of the intersection of the given cylinder and plane. (i) (ii) Calculate the unit tangent vector, T(t).

(a) Given a cylinder x² + y² = 1 and a plane x + z = 1. Find a vector-valued function r(t) that represents the curve of the intersection of the given cylinder and plane. (i) (ii) Calculate the unit tangent vector, T(t).

Name: Need step by step (a)Given a cylinder x² + y? = 1 and a plane x + z =
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Description: Need step by step (a)Given a cylinder x² + y? = 1 and a plane x + z = 1.Find a vector-valued function r(t) that represents the curve of theintersection of the given cylinder and plane.(i)(ii)Calculate the unit tangent vector, T(t).

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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