   Chapter 14.2, Problem 31E

Chapter
Section
Textbook Problem

Determine the set of points at which the function is continuous.31. F ( x , y ) = 1 + x 2 + y 2 1 − x 2 − y 2

To determine

The set of points on which the function F(x,y)=1+x2+y21x2y2 is continuous.

Explanation

The given function is. F(x,y)=1+x2+y21x2y2 .

The function is defined when 1x2y20 .

That is, x2+y21 .

Therefore, the domain of the function is {(x,y)|x2+y21}

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