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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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