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

Afan that can provide air speeds up to 60 m/s is to be used in a low-speed wind tunnel with atmospheric air at 35 c. if one wishes to use the wind tunnel to study flat-plate boundary layer behavior up to reynolds numbes of re 10, what is the minimum plate length that should be used? at what distance from the leading edge would transition occur if the critical reynolds nurnber were rer,e = 5 × 105?