Let f(x, y) = (Give exact answers. Use symbolic notation and fractions where needed.) f(x,-2x) = f(x, 3x) = 2x² + 3y Calculate f(x, mx) at m = -2 and m = 3. xy Calculate the following limits. (Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) (x,-2x) (0,0) lim f(x,-2x) = (x,y)→(0,0) lim f(x, 3x) = (x,3x) (0,0) lim f(x, y) = DNE
Let f(x, y) = (Give exact answers. Use symbolic notation and fractions where needed.) f(x,-2x) = f(x, 3x) = 2x² + 3y Calculate f(x, mx) at m = -2 and m = 3. xy Calculate the following limits. (Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) (x,-2x) (0,0) lim f(x,-2x) = (x,y)→(0,0) lim f(x, 3x) = (x,3x) (0,0) lim f(x, y) = DNE
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Let f(x, y)
=
2x² + 3y²
xy
(Give exact answers. Use symbolic notation and fractions where needed.)
f(x,-2x) =
f(x, 3x) =
Calculate the following limits.
(Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.)
lim f(x, -2x)
(x,-2x)→(0,0)
lim f(x, 3x) =
(x,3x)→(0,0)
Calculate f(x, mx) at m = −2 and m =
: 3.
limf(x, y) =
(x,y)→(0,0)
=
DNE
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