1. Find the domain and range of the following: 1 (a) f(x, y) = y – x² (b) g(x, y) = 9 – x² – y? (c) h(x,y) = 4\/x² + | %3D - r2 (d) f(x, y, z) = x+ In y + cos z 1 Y + x + y (e) g(x, y, z) = %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

please only answer 1(d), 1(e), and 2

1. Find the domain and range of the following:
1
(a) f(x, y) =
=
y-x²
2
(b) g(x, y) = 9-x² - y²
(c) h(x, y) = 4√√√x² + y²
(d) f(x, y, z) = x + ln y + cos z
1
Y
(e) g(x, y, z) =
=
+
x + y
Z
2. Provide a sketch of graph of items 1(b) and 1(c).
Transcribed Image Text:1. Find the domain and range of the following: 1 (a) f(x, y) = = y-x² 2 (b) g(x, y) = 9-x² - y² (c) h(x, y) = 4√√√x² + y² (d) f(x, y, z) = x + ln y + cos z 1 Y (e) g(x, y, z) = = + x + y Z 2. Provide a sketch of graph of items 1(b) and 1(c).
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,