Time left 0:57:28 Recall Newton's Law of Cooling from one of your homework problems: Let • T(1) represent the temperature of some object at time t Teny represent the ambient temperature of the environment surrounding the object, and we assume this ambient temperature is held constant • r(t) represent the rate of variation in the temperature of the object at time t. Then we can model the variation in the object's temperature as r(t) = k(T(t)-Tenv) for some constant k.. a. In one sentence, describe in words the relationship between the temperature T(1) and the rate of variation of the temperature r(t) expressed by the Newton's rate equation above. b. Should the constant k be positive or negative in this model? Briefly explain your answer. c. What can you say about the temperature of the object at a time t = to where r(to) is... i. large and negative? il. small and negative? iii. large and positive? iv. small and positive? Type your answers in the text box below, usina WeRWork-stule math notation if nananna