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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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show full and complete procedure please answer parts a), b) & c) as they are subparts of the same question

I III X V y X II IV MA VI
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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