Determine whether z is a function of x and y. xz² + 8xy - y² = 5 Yes No DETAILS Evaluate the function at the given values of the independent variables. Simplify the results. f(x, y, z)=√x+y+z (a) f(2, 2, 5) (b) f(0, 8, -4) (c) f(8, -7, 4) (d) f(0, 1, -1)
Determine whether z is a function of x and y. xz² + 8xy - y² = 5 Yes No DETAILS Evaluate the function at the given values of the independent variables. Simplify the results. f(x, y, z)=√x+y+z (a) f(2, 2, 5) (b) f(0, 8, -4) (c) f(8, -7, 4) (d) f(0, 1, -1)
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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Transcribed Image Text:Determine whether z is a function of x and y.
xz² + 8xy - y² = 5
Yes
No
DETAILS
Evaluate the function at the given values of the independent variables. Simplify the results.
f(x, y, z)=√x+y+z
(a) f(2, 2, 5)
(b) f(0, 8, -4)
(c) f(8, -7, 4)
(d) f(0, 1, -1)
Transcribed Image Text:Describe the domain and range of the function.
f(x, y) = In(xy - 1)
Domain:
O {(x, y): x is any real number, y is any real number}
○ {(x, y): xy > 1}
{1}
y): xy #
{1}
○ {(x, y): x > 1, y > 1}
Range:
Ozz 1
all real numbers
O z = 0
Ozzo
Oz>0
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