5. The function G is defined by G(x, y) = x² + 4y², if x² + 4y² ≤ 5 3, if x² + 4y² > 5. Show that G is continuous at all points (x, y) in R² except those on the ellipse x² +4y² = 5. le n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 27E
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5. The function G is defined by
G(x, y) =
x² + 4y², if x² + 4y² ≤ 5
3,
if x² + 4y² > 5.
Show that G is continuous at all points (x, y) in R² except those on the ellipse x² +4y² = 5.
le pt.
Transcribed Image Text:5. The function G is defined by G(x, y) = x² + 4y², if x² + 4y² ≤ 5 3, if x² + 4y² > 5. Show that G is continuous at all points (x, y) in R² except those on the ellipse x² +4y² = 5. le pt.
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