f(x, y) = /36 – x² – y², then the level curve f(x, y) = 7 is empty. - ect one: True False

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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If f(x, y) = V36 – x² – y?, then the level curve f(x, y) = 7 is empty.
Select one:
True
False
Transcribed Image Text:If f(x, y) = V36 – x² – y?, then the level curve f(x, y) = 7 is empty. Select one: True False
Given a function f(x, y). If ƒ approaches 0 as (x, y) approaches (0, 0) along every straight line through the origin, then
lim f(x, y) = 0.
(T,y)→(0,0)
Select one:
True
False
Transcribed Image Text:Given a function f(x, y). If ƒ approaches 0 as (x, y) approaches (0, 0) along every straight line through the origin, then lim f(x, y) = 0. (T,y)→(0,0) Select one: True False
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