Using K-maps, find the minimum POS of the following: a. f(A, B, C, D) = ∑ m(0, 1, 2, 4, 6, 7, 8, 9, 13, 15) b. f(A, B, C, D) = π M(1, 2, 4, 10, 11, 14) c. f(A, B, C, D) = ∑ m(0, 1, 5, 12, 14, 15) + ∑ d(2, 7, 8, 13) d. f(A, B, C, D) = π M(3, 8, 9, 14) . π D(0, 1, 4, 5, 10, 11)

An air conditioning system consist of a 5 cm diameter pipe, operating at a pressure of 200 kpa. the air initially enters the pipe at 15°c with a velocity of 20 m/s and relative humidity of 80%. if the heat supply throughout the process is 960 w, determine the relative humidity and the temperature at the outlet

Different types of steels contain different elements that alter the characteristics of the steel. for each of the following elements, explain what the element does when alloyed with steel.

You are making beer. the first step is filling the glass carboy with the liquid wort. the internal diameter of the carboy is 15 in., and you wish to fill it up to a depth of 2 ft. if your wort is drawn from the kettle using a siphon process that flows at 3 gpm, how long will it take to fill?