The largest set on which the function f(x, y) = 1/(2-x² - y2) is continuous is A. The exterior of the circle x² + y² = 2 B. All of the xy-plane except the circle x² + y² = 2 C. The interior of the circle x² + y² = 2, plus the circle D. The interior of the circle x² + y² = 2 E. All of the xy-plane

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The largest set on which the function f(x, y) = 1/(2 - x² - y²) is continuous is
A. The exterior of the circle x² + y² = 2
B. All of the xy-plane except the circle x² + y² = 2
C. The interior of the circle x² + y² = 2, plus the circle
D. The interior of the circle x² + y² = 2
E. All of the xy-plane
Transcribed Image Text:The largest set on which the function f(x, y) = 1/(2 - x² - y²) is continuous is A. The exterior of the circle x² + y² = 2 B. All of the xy-plane except the circle x² + y² = 2 C. The interior of the circle x² + y² = 2, plus the circle D. The interior of the circle x² + y² = 2 E. All of the xy-plane
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