E. Let H be the set of all points (x, y) in R² such that x² + 3y² = 12. Show that H is a closed subset of R² (considered with the Euclidean metric). Is H bounded?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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E. Let H be the set of all points (x, y) in R² such that x² + 3y² = 12. Show that H is a closed subset of R² (considered with the Euclidean metric). Is H bounded?
Transcribed Image Text:E. Let H be the set of all points (x, y) in R² such that x² + 3y² = 12. Show that H is a closed subset of R² (considered with the Euclidean metric). Is H bounded?
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