The function G(x, y) G is defined by x² + 4y², if x² + 4y² ≤ 5 3, if x² + 4y² > 5. Show that G is continuous at all points (x,y) in R^2 except those on the ellipse 2 x² + 4y² = 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 17RE
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The function
G(x, y) =
=
2
x² +
G is defined by
2
x² + 4y², if x² + 4y² ≤ 5
if x² + 4y² > 5.
| 3,
Show that G is continuous at all points (x,y) in
R^2 except those on the ellipse
2
4y²
4y² = 5
Transcribed Image Text:The function G(x, y) = = 2 x² + G is defined by 2 x² + 4y², if x² + 4y² ≤ 5 if x² + 4y² > 5. | 3, Show that G is continuous at all points (x,y) in R^2 except those on the ellipse 2 4y² 4y² = 5
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