The domain of f(x, y) is the xy-plane, and values of f are given in the table below. yx 0 1 2 3 4 0 65 66 67 66 66 1 67 67 68 67 68 Find fc grad ƒ dr, where C is (a) A line from (0, 4) to (1, 1). Jc grad f. dr = (b) A circle of radius 1 centered at (1, 2) traversed counterclockwise. So grad f. dr = 2 68 68 69 69 71 3 72 76 80 81 80 4 75 76 77 77 79

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
Question
The domain of f(x, y) is the xy-plane, and values of f are given in the table below.
yx 0 1 2 3 4
0 65 66 67 66 66
1 67 67 68 67 68
Find fc grad ƒ dr, where C is
(a) A line from (0, 4) to (1, 1).
Jc grad f. dr =
(b) A circle of radius 1 centered at (1, 2) traversed counterclockwise.
So grad f. dr =
2 68 68 69 69 71
3 72 76 80 81 80
4 75 76 77 77 79
Transcribed Image Text:The domain of f(x, y) is the xy-plane, and values of f are given in the table below. yx 0 1 2 3 4 0 65 66 67 66 66 1 67 67 68 67 68 Find fc grad ƒ dr, where C is (a) A line from (0, 4) to (1, 1). Jc grad f. dr = (b) A circle of radius 1 centered at (1, 2) traversed counterclockwise. So grad f. dr = 2 68 68 69 69 71 3 72 76 80 81 80 4 75 76 77 77 79
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