17 of 33|Consider the following two parametric curves in R³:(x(t), y(t), z(t)) = (3, 2, t) Bfor 0 < t < 2 and2(e(s), y(s), 2(s)) = (3+² cos((s+1), 2-8,1-8)OND OND OXO OND OND ONDDfor -1 < s < 1.These curves intersect when t =and s=JJ OND OND OND ONDThe equation of the plane tangent to both curves at their point of intersection may be expressed asx +y +2 =

First we will find the intersection point of both server then we will find the equation of potential…

Consider the following two parametric curves in R³: for 0 < t < 2 and 2 (x(s), y(s), z(s)) = (3+ (3+² cos((a+1)),2-8,1-8) °r-1<8<1. ¯>¯¯\ND OXO OXO OXO OXÍ These curves intersect when t = and s = The equation of the plane tangent to both curves at their point of intersection may be expressed as expressed as x+ y+ 0 (x(t), y(t), z(t)) = (3, 2, t) OXMORAO1

Consider the following two parametric curves in R³: for 0 < t < 2 and 2 (x(s), y(s), z(s)) = (3+ (3+² cos((a+1)),2-8,1-8) °r-1<8<1. ¯>¯¯\ND OXO OXO OXO OXÍ These curves intersect when t = and s = The equation of the plane tangent to both curves at their point of intersection may be expressed as expressed as x+ y+ 0 (x(t), y(t), z(t)) = (3, 2, t) OXMORAO1

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 31E

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