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Determine the set of points at which the function is continuous. ху if (x, y) + (0, 0) f(x, y) = + xy + y2 if (x, y) = (0, 0) y)\x > and y > o {(x, v)\x ER and yER}

Determine the set of points at which the function is continuous. ху if (x, y) + (0, 0) f(x, y) = + xy + y2 if (x, y) = (0, 0) y)\x > and y > o {(x, v)\x ER and yER}

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine the set of points at which the function is continuous. ху if (x, y) + (0, 0) f(x, y) = + xy + y2 if (x, y) = (0, 0) {ex, v) I× · {o<a » * (0, 0)} O {(x, y)|x > 0 and y > O {x, )\x€R and y e O {(x, v) Ix €R and y + 0}
Transcribed Image Text:Determine the set of points at which the function is continuous. ху if (x, y) + (0, 0) f(x, y) = + xy + y2 if (x, y) = (0, 0) {ex, v) I× · {o<a » * (0, 0)} O {(x, y)|x > 0 and y > O {x, )\x€R and y e O {(x, v) Ix €R and y + 0}
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