Find an equation and sketch the graph of the level of the function f(x, y) through the point (-1, 1) 2y-r x+y+1 Let S(2) = (7, y) # (0,0) (x, y) = (0,0) { f(x) : Determine whether f is a continuous function. Also, determine whether f has partial derivatives. Be careful, not only at (0,0) but at any point, including (0, 0). Find the functions and wherever they are defined. af dy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7.
(a) Find an equation and sketch the graph of the level of the function f(x,y)
through the point (-1, 1)
2y-x
x+y+1
%3D
(b) Let
2x3y
(x, y) # (0, 0)
(x, y) = (0, 0)
f(x) =
Determine whether f is a continuous function. Also, determine whether f has partial
derivatives. Be careful, not only at (0,0) but at any point, including (0,0). Find the
functions and wherever they are defined.
af
Transcribed Image Text:7. (a) Find an equation and sketch the graph of the level of the function f(x,y) through the point (-1, 1) 2y-x x+y+1 %3D (b) Let 2x3y (x, y) # (0, 0) (x, y) = (0, 0) f(x) = Determine whether f is a continuous function. Also, determine whether f has partial derivatives. Be careful, not only at (0,0) but at any point, including (0,0). Find the functions and wherever they are defined. af
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