Functions of Two Variables allot all Display the values of the functions in Exercises 37-48 in two ways: (a) by sketching the surface z = f(x, y) and (b) by drawing an assort- ment of level curves in the function's domain. Label each level curve with its function value. 37. f(x, y) = y² og 39. f(x, y) = x² + y² 41. f(x, y) = x² - y 43. f(x, y) = 4x² + y² 45. f(x, y) = 1 lyl 47. f(x, y) = √x² + y² + 4 d38. f(x, y) = √x d 40. f(x, y) = √x² + y² 42. f(x, y) = 4 - x² - y² 44. f(x, y) = 6 - 2x - 3y f(x, y) = 1 − |x| − │y| 48. f(x, y) = √x² + y² − 4 shown 46.
Functions of Two Variables allot all Display the values of the functions in Exercises 37-48 in two ways: (a) by sketching the surface z = f(x, y) and (b) by drawing an assort- ment of level curves in the function's domain. Label each level curve with its function value. 37. f(x, y) = y² og 39. f(x, y) = x² + y² 41. f(x, y) = x² - y 43. f(x, y) = 4x² + y² 45. f(x, y) = 1 lyl 47. f(x, y) = √x² + y² + 4 d38. f(x, y) = √x d 40. f(x, y) = √x² + y² 42. f(x, y) = 4 - x² - y² 44. f(x, y) = 6 - 2x - 3y f(x, y) = 1 − |x| − │y| 48. f(x, y) = √x² + y² − 4 shown 46.
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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Please explain how to solve number 42.
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Please explain how to solve number 42.
42 only !
Transcribed Image Text:joja aniwellot ar
otigg
Functions of Two Variables
Display the values of the functions in Exercises 37-48 in two ways:
(a) by sketching the surface z = f(x, y) and (b) by drawing an assort-
ment of level curves in the function's domain. Label each level curve
with its function value. gad
37. f(x, y) = y2 oq novig odi da 38.
08239. f(x, y) = x² + y²
40.
41. f(x, y) = x² - y
f(x, y) = √x
f(x, y) = √x² + y²
42. f(x, y) = 4x² - y²
44. f(x, y) = 6 - 2x - 3y
f(x, y) = 1 = |x|-|y|
48. f(x, y) = √x² + y² - 4
d
43. f(x, y) = 4x² + y²
45. f(x, y) = 1 lyl shown 46.
47. f(x, y) = √x² + y² + 4
1019
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