F(x, y) = (6,y+5,0) The field is conservative What is div(1, 1, 0) = 1 2 = <0,0,0> 3 What is curl (1, 1, 0): The path is C'(t) = (2t, 3t, 0) for t = [0, 1] Jo Calculate the effect of the field with the path: F.dr Calculate the effect of the field across the path: · S. ² = 13 F.ñds =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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solve this part Calculate the effect of the field across the path: 

F(x, y) = (6,y+5,0)
The field is conservative
What is div(1, 1, 0)
=
1
2
What is curl (1, 1, 0):
The path is C'(t) = (2t, 3t, 0) for t = [0, 1]
= <0,0,0>
Calculate the effect of the field with the path:
LA
F.dr = 13
Calculate the effect of the field across the path:
· S.P.,
nds =
X
Transcribed Image Text:F(x, y) = (6,y+5,0) The field is conservative What is div(1, 1, 0) = 1 2 What is curl (1, 1, 0): The path is C'(t) = (2t, 3t, 0) for t = [0, 1] = <0,0,0> Calculate the effect of the field with the path: LA F.dr = 13 Calculate the effect of the field across the path: · S.P., nds = X
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