. Let hd(n) be the impulse response of an ideal lowpass filter. With w1(n) = 1, n = 0, . . . , M − 1 0, otherwise w2(n) = ( 1 − 2|n− M−1 2 | M−1 , n = 0, . . . , M − 1 0, otherwise consider two FIR filters with impulse responses h1(n) = w1(n)hd n − M − 1 2 h2(n) = w2(n)hd n − M − 1 2 (you can assume M is odd). (a) Which filter, h1(n) or h2(n), has a sharper transition between passband and stopband? (b) Which filter has lower sidelobes in the stopband?

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.

Athin walled concentric tube exchanger is used to cool engine oil from 160°c to 60°c with water that is available at 25°c acting as a coolant. the oil and water flow rates are each at 2 kg/s, and the diameter of the inner tube is 0.5 m and the corresponding value of the overall heat transfer coefficient is 250 w/m2. oc. how long must the heat exchanger be to accomplish the desired cooling? cpwater=4.187 kj/kg-candcpengine el=2.035 kj/kg·°c, oil . 120]

Avolume of 2.65 m3 of air in a rigid, insulated container fitted with a paddle wheel is initially at 264 k, 5.6 bar. the air receives 432 kj by work from the paddle wheel. assuming the ideal gas model with cv = 0.71 kj/kg • k, determine for the air the amount of entropy produced, in kj/k