. Given function of two variables z = f(x, y) = x² – y. graph and label the follwing: a) Cross sections for a 0, –1, –2 b) Cross sections for y = 0, 1, 2. c) Contour diagrams for z 0, 1, 2 %3D Z 4 3 Z 4 У 4 3 3 2 +++ -5 -4 -3 -2 -11 f 1 2 3 4 5 -2 + + 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 45 -5 -4 -3 -2 y -2 -3 -2 -3 -3 21

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Given function of two variables z =
a) Cross sections for a = 0, –1, –2
b) Cross sections for y = 0, 1, 2.
c) Contour diagrams for z = 0, 1, 2
f (x, y) = x2 – y. graph and label the follwing:
Z 4
y
-5 -4 -3 -2 -11
1 2 3
-5 -4 -3 -2 -11
y
5
1
3
4 5
-5 -4 -3 -2 -11
3 4
5
-2
X
X
-3
-3 +
-3 †
-4
(a)
(b)
++++++++
Transcribed Image Text:1. Given function of two variables z = a) Cross sections for a = 0, –1, –2 b) Cross sections for y = 0, 1, 2. c) Contour diagrams for z = 0, 1, 2 f (x, y) = x2 – y. graph and label the follwing: Z 4 y -5 -4 -3 -2 -11 1 2 3 -5 -4 -3 -2 -11 y 5 1 3 4 5 -5 -4 -3 -2 -11 3 4 5 -2 X X -3 -3 + -3 † -4 (a) (b) ++++++++
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