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1. Suppose you know that the vector field F is conservative and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about § F.dr C 2. Suppose you know that the vector field F is source free and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about F⚫n ds C 3. Determine whether the vector field F given below is conservative, source free, neither or both F == (ex cosy, ex sin y) -

1. Suppose you know that the vector field F is conservative and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about § F.dr C 2. Suppose you know that the vector field F is source free and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about F⚫n ds C 3. Determine whether the vector field F given below is conservative, source free, neither or both F == (ex cosy, ex sin y) -

Calculus: Early Transcendentals
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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1.  Suppose you know that the vector field F is conservative and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise.  What can you conclude about

 

2.  Suppose you know that the vector field F is source free and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise.  What can you conclude about

 

3.  Determine whether the vector field F given below is conservative, source free, neither or both

 

1. Suppose you know that the vector field F is conservative and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about § F.dr C 2. Suppose you know that the vector field F is source free and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about F⚫n ds C 3. Determine whether the vector field F given below is conservative, source free, neither or both F == (ex cosy, ex sin y) -
Transcribed Image Text:1. Suppose you know that the vector field F is conservative and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about § F.dr C 2. Suppose you know that the vector field F is source free and that the curve C is the circle of radius 4 centered at (1,0) oriented counterclockwise. What can you conclude about F⚫n ds C 3. Determine whether the vector field F given below is conservative, source free, neither or both F == (ex cosy, ex sin y) -
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