Consider the differential dz = [2xy + sin(y)]dx + [x^2 + xcos(y)]dy the state of the system is changed from (x = 0, y = 0) to (x = l ,y = 1) along the path x = y. calculate the total change in z along this path. the change in a.) is now made along the path x = y^2. compute the total change in z along this path. argue from your results and a.) and b.) and show explicitly that dz is an exact differential.

stands for electromotive force and it is measured in volts. despite its name, it is not actually the force in the sense of being a "pushing" or "pulling" (not measured in newtons).an equation that relates emf,  ℰ,  to a battery's terminal voltage, v, current, i, and internal resistance, r, is    ℰ = v + irin this case, the emf can be interpreted as a voltage—a difference in electric potential.i would not say that it would be considered an energy. if emf can be defined as the energy/work per a unit charge from a battery or other electric source, then it is not strictly energy.