Exercise 1.4.10: newton's law of cooling tis time, a is the ambient temperature, and k > 0 is a constant. suppose that a ao cos(wr) for some constants ao and w. that is, the ambient temperature oscillates (for example night and day temperatures). a) find the general solution. b) in the long term, will the initial conditions make much of a difference? why or why not? -k(x- a) where x is the temperature states that exercise 1.4.11: initially 5 grams of salt are dissolved in 20 liters of water brine with concentration of salt 2 grams of salt per liter is added at a rate of 3 liters a minute. the tank is mixed well and is drained at 3 liters a minute. how long does the process have to continue until there are 20 grams of salt in the tank?