el 29-38 Determine the set of points at which the function is continuous. 29. F(x, y) = xy 1 + e*- 1 + x² + y² 31. F(x, y) = 1 + x² - y² - .2..3 30. F(x, y) = cos √1 + x - y S-bas S 33. G(x, y) = √√x + √√1 − x² − y² - 34. G(x, y) = ln(1 + x - y) 35. f(x, y, z) = arcsin(x2 + y2 + z^) 36. f(x, y, z) = √√y - x² In z 37. f(x, y) = 2x² + y² 278 1 32. H(x, y) = if (x, y) = (0, 0) if (x, y) = (0, 0) et + ey exy − 1 44. 45 4
el 29-38 Determine the set of points at which the function is continuous. 29. F(x, y) = xy 1 + e*- 1 + x² + y² 31. F(x, y) = 1 + x² - y² - .2..3 30. F(x, y) = cos √1 + x - y S-bas S 33. G(x, y) = √√x + √√1 − x² − y² - 34. G(x, y) = ln(1 + x - y) 35. f(x, y, z) = arcsin(x2 + y2 + z^) 36. f(x, y, z) = √√y - x² In z 37. f(x, y) = 2x² + y² 278 1 32. H(x, y) = if (x, y) = (0, 0) if (x, y) = (0, 0) et + ey exy − 1 44. 45 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
31,37
Transcribed Image Text:or
),
n
of
25-26
is continuous.
25. g(t) = 1² + √t, f(x, y) = 2x + 3y - 6
1 - xy
1 + x²y²
26. g(t) = 1 + ln t, f(x, y) =
27-28 Graph the function and observe where it is discontinu-
ous. Then use the formula to explain what you have observed.
27. f(x, y) = ¹/(x-y)
1
1-x² - y²
=
the set of points at which h
xy
1 + e*-y
el 29-38 Determine the set of points at which the function is
continuous.
29. F(x, y)
28. f(x, y)
x²y³
37. f(x, y) = 2x² + y²
f
1 + x² + y²
31. F(x, y)
1 - x² - y²
33. G(x, y) = √√x + √1 − x² − y²
POT
lentos or indi sergab es
30. F(x, y) = cos √1 + x - y
34. G(x, y) = ln(1 + x − y)
35. f(x, y, z) = arcsin(x2 + y2 + z^)
36. ƒ(x, y, z) = √y — x² ln z
=
32. H(x, y)
qat box a bogastro
14.3 Partial Derivatives
nodw nuitsau
=
if (x, y) = (0, 0)
if (x, y) = (0, 0)
et + ex
exy − 1
41. lim
42. At th
and
f(x
CO
43. Gr
44.
45
4
On a hot day, extreme humi
is, whereas in very dry air
eter indicates. The National
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