An 8L jug of koolaid mix initially has a concentration of 0.25kg/L. More is injected at 4L/min with a 0.5kg/L solution and there is an equal outflow of solution at a rate of 4L/min. (a) Show that the mass of kooI-aid in the tank is governed by the DE dm _ 4m_2 (b) Solve for the function m(t) and use the condition m(0) = 2 to eliminate the arbitrary constant. (c) Determine the amount of kool-aid in the tank as t > 00. Does your answer make sense