Parts 2 and 3 of the Term project - the Aerodynamic model and flutter prediction using the k- method. At the end of the lab, you should submit your symbolic or numerical solutions to these questions (in a .pdf file), with the Matlab code attached either as an appendix or within the body of the questions. The aerodynamic B and C matrices have components: BC=[BbbBtbBbtBtt]=[CbbCt bCbtCtt] Symbolic expressions for the Bbb and Bbt are: BbbBbb=0sbLz(sy)4dy=0sb2L(sy)3dy 1. Derive and write out similar symbolic expressions for the remaining terms in the B and C matrices (Btb, Btt,Cbb,Cbt,Ctb and Ctt). Add these to the template MATLAB code. 2. Now use the code to evaluate the B and C matrices. Write out the values of the B and C matrices for kref=0.1. 3. Now construct Vg,Vw plots and determine the flutter velocity. Please add these plots to the PDF. What is the flutter velocity? Note that in the k-method, an artificial damping g is analysed. This quantity going positive indicates flutter..