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Since (∂/∂y)(e^x sin y) = e^x cos y = (∂/∂x)(e^x cos y), F is conservative.
I hope this helps!
keywords: is,gt,conservative,or,True,cos,False,field,The,sin,vector,lt,The vector field F(x, y) = <e^x sin y, e^x cos y)> is conservative True or False
