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(Solved): The figure shows the vector field F(x,y)=(:2xy,x^(2):) and three curves that start at (1,2) and end ...
The figure shows the vector field
F(x,y)=(:2xy,x^(2):)and three curves that start at
(1,2)and end at
(3,2). (a) Explain why
\int_C F*drhas the same value for all three curves. All three curves are simple and not closed. The vector field is conservative and all three curves have the same initial and terminal points. The vector field is not conservative and all three curves are simply-connected. The vector field is conservative and the initial points of all three curves coincide with the terminal points. The vector field is not conservative and all three curves are not simple and closed. (b) What is this common value?
