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True or false questions about line/surface integral 
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#1
Dec109, 08:16 PM

P: 27

1. The problem statement, all variables and given/known data
if f has a continuous partial derivatives on R^3 and c is any circle ,then the integral of gradient f dot dr over c is zero integral of f(x,y) ds over c=  integral of f(x,y) ds over c 2. Relevant equations 3. The attempt at a solution if the condition is not mentioned, then that statement is usually wrong so i guess the second one is wrong not quite sure about the first one 


#2
Dec209, 05:07 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,552

For (1), think about "Green's theorem". Does it apply here?
For (2), the "conditions" are that the function be integrable. Which it is because the question give [itex]\int f(x) dx[/itex]. 


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