x-y, (x,y) + (0,0)isThe function f (x,y) =0)(x,y) = (0,0)%3D(a) Discontinuous at (x, y) = (0,0)%3D(b) limit exist at (x, y) = (0,0)(c) Continuous at (x, y) = (0,0)(d) None on the above

Option (a) is correct. Explanation is given below

Answered: x-y , (x,y) # (0,0) The function f(x,y)…

Math

Calculus

x-y , (x,y) # (0,0) The function f(x,y) = {x+y is (x, y) = (0,0) %3D (a) Discontinuous at (x, y) = (0,0) %3D

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 20E

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

x-y
, (x,y) + (0,0)
is
The function f (x,y) =
0)
(x,y) = (0,0)
%3D
(a) Discontinuous at (x, y) = (0,0)
%3D
(b) limit exist at (x, y) = (0,0)
(c) Continuous at (x, y) = (0,0)
(d) None on the above

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