Question: For the following exercises, determine whether the vector field is conservative and, if it is, find the potential function. 107.F(x,y)=(y+exsiny)i+[(x+2)excosy]jF(x,y)=(y+exsiny)i+[(x+2)excosy]j108.F(x,y)=(e2xsiny)i+[e2xcosy]jF(x,y)=(e2xsiny)i+[e2xcosy]j109.F(x,y)=(6x+5y)i+(5x+4y)j

For the following exercises, determine whether the vector field is conservative and, if it is, find the potential function. 107.F(x,y)=(y+exsiny)i+[(x+2)excosy]jF(x,y)=(y+exsiny)i+[(x+2)excosy]j108.F(x,y)=(e2xsiny)i+[e2xcosy]jF(x,y)=(e2xsiny)i+[e2xcosy]j109.F(x,y)=(6x+5y)i+(5x+4y)j

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