x' y 2x6+ y2 (x, y)→ (0, 0) along any straight line y = mx, or along 38. (a) Show that the value of approaches 0 as any parabola y = kx². x'y does not exist by letting lim (x,y)→ (0,0) 2x6 + y2 (x, y)→ (0, 0) along the curve y = (b) Show that = x'.

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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x'y
2.r6 + v2 approaches 0 as
38. (a) Show that the value of
(x, y)→ (0, 0) along any straight line y = mx,or along
any parabola y = kx².
%3D
x'y
does not exist by letting
lim
(x,y)→ (0,0) 2x6 + y2
(x, y)→ (0, 0) along the curve y = x³.
(b) Show that
Transcribed Image Text:x'y 2.r6 + v2 approaches 0 as 38. (a) Show that the value of (x, y)→ (0, 0) along any straight line y = mx,or along any parabola y = kx². %3D x'y does not exist by letting lim (x,y)→ (0,0) 2x6 + y2 (x, y)→ (0, 0) along the curve y = x³. (b) Show that
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