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A metal bar (Hexagonal Cross Section- Side 0.25m and L=1m ) as shown below. REGULAR POLYGON s=sidelength,n=numberofsidesGircumradius:R=21scec(n)Area:A=41ns2cot(n)orA=21nR2sin(n2) 1. Derive the mathematical model for the metal bar (5 poin not insulated and subjected to hot air at 25C. 2. Apply the finite difference method (Central Difference for length and Forward Difference for Time) to the metal bar (5 points) 3. Derive the convective boundary conditions Model. (3 points) 5. Based on a typical Exiference method to convective boundary conditions at second end (x=1). (2 points) points) k=400smCJ,Cp=320kgCJ,=8900m3kg,h=250minm2CJt=0.05min,x=0.1m