Find(a) a continuous function f(x, y) that is defined on theentire xy-plane and has no

Chapter 13, Problem 58

(choose chapter or problem)

Find

(a) a continuous function $f(x, y)$ that is defined on the entire $x y \text { - plane }$ and has no absolute extrema on the $x y \text { - plane }$;

(b) a function $f(x, y)$ that is defined everywhere on the rectangle $0 \leq x \leq 1,0 \leq y \leq 1$ and has no absolute extrema on the rectangle.

Equation Transcription:

$f(x,y)$

$xy-$ plane

$f(x,y)$

$0\leq{}x\leq{}1,\ 0\leq{}y\leq{}1$

Text Transcription:

f(x,y)

xy-plane

f(x,y)

0 leq x leq 1, 0 leq y leq 1

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