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Problem 0.1 (1) S₁ = (2) S2 = (3) S3 = (4) S4 = Draw and explain rigorously why they deserve their names {(x, y, z) e R³ : x+y+z= 1}. {(x, y, z) e R³ : x² + y² + z² = 1}. {(x, y,z) ER³: x² + y² = 1}. {(x, y, z) = R³ : 22 = x² + y²}.

Problem 0.1 (1) S₁ = (2) S2 = (3) S3 = (4) S4 = Draw and explain rigorously why they deserve their names {(x, y, z) e R³ : x+y+z= 1}. {(x, y, z) e R³ : x² + y² + z² = 1}. {(x, y,z) ER³: x² + y² = 1}. {(x, y, z) = R³ : 22 = x² + y²}.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 57E
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Problem 0.1 Draw and explain rigorously why they deserve their names (1) S₁ = {(x, y, z) = R³: x+y+z=1}. (2) S2 = {(x, y,z) € R³ : x² + y² + z² = 1}. (3) Sg = {(2, ,z)€R3: =1}. + (4) S4 = {(x, y, 2) E R³: 2² = x² + y²}.
Transcribed Image Text:Problem 0.1 Draw and explain rigorously why they deserve their names (1) S₁ = {(x, y, z) = R³: x+y+z=1}. (2) S2 = {(x, y,z) € R³ : x² + y² + z² = 1}. (3) Sg = {(2, ,z)€R3: =1}. + (4) S4 = {(x, y, 2) E R³: 2² = x² + y²}.
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