6. (a) Show that the curve represented by the vector function F(t) = (5t, 3t – 4, 2t² – 6) is at the intersection between a plane and a cylinder. (b) Find a vector function that represents the intersection of the sphere x2 + y? + z2 = 1 and the elliptic cylinder x2 + 2z2 = 1.
6. (a) Show that the curve represented by the vector function F(t) = (5t, 3t – 4, 2t² – 6) is at the intersection between a plane and a cylinder. (b) Find a vector function that represents the intersection of the sphere x2 + y? + z2 = 1 and the elliptic cylinder x2 + 2z2 = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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