1. Define F(x, y) = Vf(x, y) where f(x, y) = cos(x + y?) + 5x. If C is the unit circle (oriented in the positive direction) then: %3D F dr = %3D If K is the portion of the unit circle in the first quadrant (oriented in the positive direction) then: F dr = 2. If G(x, y) at (0,0), (1,0), (1, 1) and (0, 1) then: (3x°y + 12x, 5x*y + 25y) and S is the square path (oriented positively) with vertices G dr = %3D
1. Define F(x, y) = Vf(x, y) where f(x, y) = cos(x + y?) + 5x. If C is the unit circle (oriented in the positive direction) then: %3D F dr = %3D If K is the portion of the unit circle in the first quadrant (oriented in the positive direction) then: F dr = 2. If G(x, y) at (0,0), (1,0), (1, 1) and (0, 1) then: (3x°y + 12x, 5x*y + 25y) and S is the square path (oriented positively) with vertices G dr = %3D
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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Transcribed Image Text:1. Define F(x, y) = Vf(x, y) where f(x, y) = cos(x + y?) + 5x.
If C is the unit circle (oriented in the positive direction) then:
%3D
F dr =
%3D
If K is the portion of the unit circle in the first quadrant (oriented in the positive direction) then:
F dr =
2. If G(x, y)
at (0,0), (1,0), (1, 1) and (0, 1) then:
(3x°y + 12x, 5x*y + 25y) and S is the square path (oriented positively) with vertices
G dr =
%3D
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