Let Mo denote the current mass of the sun and Lo its current luminosity (which will not be defined here). For stars whose mass M falls in the range 0.43M M 2Mo the relationship between their mass M and luminosity L is given by L Lo M3.5 Mo By converting hydrogen into helium, the sun loses mass and observations by astronomers show that the sun loses about 10-3 of its mass each year. Derive an expression for the change in luminosity of the sun with respect to time. Your answer will depend on the sun's mass as a function of time.