Question: Let k R be a parameter, we consider the vector field F(x, y) = [ c o s ( x ) + c o s

Let k R be a parameter, we consider the vector field F(x, y) =[cos(x)+cos(x)cos(y)k(sin(x)sin(y)+sin(y))]

(a) For what value(s) of k is this field conservative? (b) For these values of k, give a potential for F.

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