(a) Estimate the values of f, fa and fy at the point (, y) = (0.6,0.4). (b) What is the equation for the tangent plane to the graph of f at the point corresponding to (x, y) = (0.6,0.4)? (c) Estimate fe, fry, fya and fyy at the point (x, y) = (0.6, 0.4). ৪ 0.6 -100 -86 0.4 -71 -57 42 16 103 -13 30 -28 -13 16 -13 1 0.2 16 30 16 y 74 45 30 -0.2 16-16 13 -13 16 -0.4 -28 30 -0.6 -1 -0.8 -0.6 -0.4 -0.2 0.2 0.4 0.6 0.8 132 11 -187- -172- 158- 13-
(a) Estimate the values of f, fa and fy at the point (, y) = (0.6,0.4). (b) What is the equation for the tangent plane to the graph of f at the point corresponding to (x, y) = (0.6,0.4)? (c) Estimate fe, fry, fya and fyy at the point (x, y) = (0.6, 0.4). ৪ 0.6 -100 -86 0.4 -71 -57 42 16 103 -13 30 -28 -13 16 -13 1 0.2 16 30 16 y 74 45 30 -0.2 16-16 13 -13 16 -0.4 -28 30 -0.6 -1 -0.8 -0.6 -0.4 -0.2 0.2 0.4 0.6 0.8 132 11 -187- -172- 158- 13-
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
Related questions
Question
![4. Below is a contour map for a function f(x, y) that describes the topography of a park.
(a) Estimate the values of f, f and fy at the point (r, y) = (0.6, 0.4).
(b) What is the equation for the tangent plane to the graph of f at the point corresponding to
(x, y) = (0.6,0.4)?
(c) Estimate fr, fay, fyæ and fyy at the point (x, y) = (0.6, 0.4).
-187-
158
0.6
30
-28
-100
-86
0.4
-71
-57
-42
16
-13
45
So
59
74
88
30
-28
16
-13
-13
16
-13
-1
0.2
16
30
16
У о
59
74
45
-28
30
-0.2
16
-16
-13
30
16
-13
16
-0.4
-28
30
-0.6
今
-1
-0.8
-0.6
-0.4
-0.2
0.2
0.4
0.6
0.8
132
117
-13
-13 -
L-28
-42
-13 -
-91-
-13
172-
45](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F904e73fc-f89a-47fb-8e24-b8fa7652becc%2F9b54aa49-af35-42c1-8432-84c75bb42e8f%2Fqwn3ha_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Below is a contour map for a function f(x, y) that describes the topography of a park.
(a) Estimate the values of f, f and fy at the point (r, y) = (0.6, 0.4).
(b) What is the equation for the tangent plane to the graph of f at the point corresponding to
(x, y) = (0.6,0.4)?
(c) Estimate fr, fay, fyæ and fyy at the point (x, y) = (0.6, 0.4).
-187-
158
0.6
30
-28
-100
-86
0.4
-71
-57
-42
16
-13
45
So
59
74
88
30
-28
16
-13
-13
16
-13
-1
0.2
16
30
16
У о
59
74
45
-28
30
-0.2
16
-16
-13
30
16
-13
16
-0.4
-28
30
-0.6
今
-1
-0.8
-0.6
-0.4
-0.2
0.2
0.4
0.6
0.8
132
117
-13
-13 -
L-28
-42
-13 -
-91-
-13
172-
45
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