The domain of f(x, y) is the xy-plane, and values of f are given in the table below. Find fe grad f.dr, where Cis yx 0 1 2 3 4 0 60 60 62 63 63 1 2 3 4 59 60 61 62 63 63 67 71 75 76 62 62 63 63 63 65 66 66 66 67

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 28E
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The domain of f(x, y) is the xy-plane, and values of f are given in the table below.
Find fegrad f. dr, where C is
(a) A line from (0,4) to (4,2).
Se grad f.dr =
(b) A circle of radius 1 centered at (3, 3) traversed counterclockwise.
Scgrad f. dr =
yx 0 1 2 3 4
0 60 60 62 63 63
59 60 61 62 63
63 6771 75 76
1
2
3
4
62 62 63 63 63
65 66 66 66 67
Transcribed Image Text:The domain of f(x, y) is the xy-plane, and values of f are given in the table below. Find fegrad f. dr, where C is (a) A line from (0,4) to (4,2). Se grad f.dr = (b) A circle of radius 1 centered at (3, 3) traversed counterclockwise. Scgrad f. dr = yx 0 1 2 3 4 0 60 60 62 63 63 59 60 61 62 63 63 6771 75 76 1 2 3 4 62 62 63 63 63 65 66 66 66 67
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