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5. (20 points) Exactly one of the vector fields below is conservative: Fi = (sin(y=) cos(a + y), sin(y=) cos(x + y) + zsin(x + y) cos(yz), vsin(x + y) cos(y=] ) Fo = ( sin(vz) cos(x - y) , sin(vz) costa + y) + = sin(x + y) cos(y=), ysin(a + y) costy:) ) a) Show why the non-conservative field is not conservative. b) Find a function /(z, y, =) whose gradient is the field that is conservative