ten the equatio with the graphs lab and give reasons for your answers. Determine wh families of grid curves have u constant and which have v constant. a) x = (1-u) (3 + cos v) сos 4лu y = (1-u) (3 + cos v) sin 4лu z = 3u + (1 - u) sin v b) x = cos³ u cos³ v y = sin³ u cos³ v z = sin³ v c) x = (1-|ul) cos v y = (1 - [u]) sin v

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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show full and complete procedure please answer parts a), b) & c) as they are subparts of the same question

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) x = (1 - u) (3 + cos v) cos 4лu
y = (1 - u) (3 + cos v) sin 4лu
z = 3u + (1 - u) sin v
b) x = cos³ u cos³ V
y = sin³ u cos³ v
z = sin³ v
c) x = (1
y = (1
Z = U
[u]) cos v
[u]) sin v
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) x = (1 - u) (3 + cos v) cos 4лu y = (1 - u) (3 + cos v) sin 4лu z = 3u + (1 - u) sin v b) x = cos³ u cos³ V y = sin³ u cos³ v z = sin³ v c) x = (1 y = (1 Z = U [u]) cos v [u]) sin v
I
III
X
V
y
X
II
IV
MA
VI
Transcribed Image Text:I III X V y X II IV MA VI
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