(a) Find a vector function that describes the curve of the intersection of the cylinder z²+²=4 and the plane z+y+2z=4. (b) Use the vector function to find the parametric equations for the tangent line to this curve at t= x/6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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(a) Find a vector function that describes the curve of the intersection of the cylinder
z+y+2z=4.
2²
+y²
= 4 and the plane
(b) Use the vector function to find the parametric equations for the tangent line to this curve at t = π/6.
Transcribed Image Text:(a) Find a vector function that describes the curve of the intersection of the cylinder z+y+2z=4. 2² +y² = 4 and the plane (b) Use the vector function to find the parametric equations for the tangent line to this curve at t = π/6.
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