Consider the function z = f(x,y). Some values for z are given in the table below. %3D y = 10 15 20 25 30 X = 12 100 90 80 70 60 18 110 100 90 80 70 24 125 115 105 95 85 30 145 135 125 115 105
Consider the function z = f(x,y). Some values for z are given in the table below. %3D y = 10 15 20 25 30 X = 12 100 90 80 70 60 18 110 100 90 80 70 24 125 115 105 95 85 30 145 135 125 115 105
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:Consider the function z = f(x,y). Some values for z are given in the table below.
%3D
y = 10
15
20
25
30
X = 12
100
90
80
70
60
18
110
100
90
80
70
24
125
115
105
95
85
30
145
135
125
115
105
Question 1
Consider the function z = f(x,y). Some values for z are given in the table below.
y = 10
15
25
30
X = 12
100
90
80
70
60
18
110
100
90
80
70
24
125
115
105
95
85
30
145
135
125
115
105
Find fx(30,20). (The partial derivative of f with respect to x at (30,20).
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Transcribed Image Text:Question 2
Consider the function z = f(x,y). Some values for z are given in the table below.
%3D
y = 10
15
20
25
30
X = 12
100
90
80
70
60
18
110
100
90
80
70
24
125
115
105
95
85
30
145
135
125
115
105
Find f,(30,20). (The partial derivative of f with respect to y at (30,20).
Question 3
Consider the function z = f(x,y). Some values for z are given in the table below.
y = 10
15
20
25
30
X = 12
100
90
80
70
60
18
110
100
90
80
70
24
125
115
105
95
85
30
145
135
125
115
105
Write the equation of the plane tangent to f(x,y) at (30,20).
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