1. Match the equations with the graphs labeled I-VI and give reasons for your answers. Determine which families of grid curves have u constant and which have v constant. a) r(u, v) = u cos vi+usin vj + v k b) r(u, v) = u cos vi + u sin vj + sin u k, −ñ ≤ u ≤ π c) r(u, v) = sin vi+ cos u sin 2v j + sin u sin 2v k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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show full and complete procedure please answer parts a), b) & c) as they are subparts of the same question

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Transcribed Image Text:I III X V y X II IV MA VI
1. Match the equations with the graphs labeled I-VI and give reasons for your answers. Determine which
families of grid curves have u constant and which have v constant.
a) r(u, v) = u cos vi+ u sin v j + v k
b) r(u, v) = u cos vi+usin vj + sin u k, −ñ ≤ u≤ π
c) r(u, v) = sin vi + cos u sin 2v j + sin u sin 2v k
Transcribed Image Text:1. Match the equations with the graphs labeled I-VI and give reasons for your answers. Determine which families of grid curves have u constant and which have v constant. a) r(u, v) = u cos vi+ u sin v j + v k b) r(u, v) = u cos vi+usin vj + sin u k, −ñ ≤ u≤ π c) r(u, v) = sin vi + cos u sin 2v j + sin u sin 2v k
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