Determine if the following waveforms are orthogonal over their respective restricted joint intervals, show all work sketch g1 (t) and w (t) in each case. case 1: g1(t)= α1cos(ω1t+ φ1) 0< =t< =1/2f1g2(t)= β2sin(ω2t+ φ2) 0< =t< =1/2f1 α1=constant , φ1= -πβ=constant, φ2= 2πf1=f2= ω1/2πcase 2: g1(t) as in case 1, -1/2f1 < =t< =0g2(t) as in case 1, -1/2f2 < =t< =1/f2all other parameters same as case 1

Air is to be cooled in the evaporator section of a refrigerator by passing it over a bank of 0.8-cm-outer-diameter and 0.4-m-long tubes inside which the refrigerant is evaporating at -20°c. air approaches the tube bank in the normal direction at 0°c and 1 atm with a mean velocity of 4 m/s. the tubes are arranged in-line with longitudinal and transverse pitches of sl- st 1.5 cm. there are 30 rows in the flow direction with 15 tubes in each row. determine (a) the refrigeration capacity of this system and (b) pressure drop across the tube bank. evaluate the air properties at an assumed mean temperature of -5°c and 1 atm. is this a good assumption?

Slip occurs via two partial dislocations because of (a) the shorter path of the partial dislocation lines; (b) the lower energy state through partial dislocations; (c) the charge balance.

Abarometer contains mercury with a density of 13600 kg/m3. atmospheric conditions are 95.8 kpa and 20 °c at 20 °c, the vapor pressure of the mercury is 0.000173 kpa. the column of mercury will rise to a height of most nearly. select one: a)- 0.38 m b)- 0.82 m c)- 0.48 m d)- 0.72 m