Consider a vibrating bridge whose displacement as a function of time follows the equation y(t) = c sin(wt) + c cos(wt). Time Displacement (a) Estimate c and using linear least squares fitting to the values given if it is known that w = 2.6. Solve the system of normal equations ATAc = Ab to get the least-squares parameter values c = (C1, C) C S (b) Estimate w along with c and using nonlinear least squares fitting. C1 = 1,2,3,4,5,6,7 1.55638,-1.18376,0.528743,0.252415,-0.973355,1.46209,-1.60202 C =