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For each of the following vector fields F , decide whether it is conservative or not...

For each of the following vector fields F , decide whether it is conservative or not by computing the appropriate first order partial derivatives. Type in a potential function f (that is, ∇?=?) with ?(0,0)=0. If it is not conservative, type N. A. ?(?,?)=(6?−6?)?+(−6?+12?)? ?(?,?)= -6xsiny + y^2 B. ?(?,?)=3??+4?? ?(?,?)= N C. ?(?,?)=(3sin?)?+(−12?+3?cos?)? ?(?,?)= 0 Note: Your answers should be either expressions of x and y (e.g. "3xy + 2y"), or the letter "N"

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