(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-

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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
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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