16. Suppose an object with initial temperature To is placed in a sealed container, which is in turn placed in a medium with temperature Tm. Let the initial temperature of the container be So. Assume that the temperature of the object does not affect the temperature of the container, which in turn does not affect the temperature of the medium. (These assumptions are reasonable, for example, if the object is a cup of coffee, the container is a house, and the medium is the atmosphere.) (a) Assuming that the container and the medium have distinct temperature decay constants k and km respectively, use Newton's law of cooling to find the temperatures S(t) and T(t) of the container and object at time t. (b) Assuming that the container and the medium have the same temperature decay constant k, use Newton's law of cooling to find the temperatures S(t) and T(t) of the container and object at time t. (c) Find lim .-S(t) and limt-+ T(t)