b) 5T+8 31 + 2 measured in Thousands and T is The Time in years since 1950. The populaTion of Narnia is modelled by P(1') = , where, The populaTion is DeTermine The raTe of change of The papulaTion in 1987. WhaT does The value of This raTe of change Tell you abouT whaT is happening in Narnia? (3 marks)\\ Is The populaTion of Narnia ever expecTed To sTarT increasing? If so when. Explain. (2 marks) A cylindrical sTorage Tank wiTh a capaciTy of 1000 m3 is To be consTrucTed. The specifications call for The Top and base To be made of sheeT sTeel, which cosTs $100/m2 , and The wall To be made of sheeT sTeel of a lower grade, which cosTs $80} m2 . DeTermine The dimensions of The Tank ThaT would minimize The cosT of consTrucTion. {V = nrzh SA = 21|:r2 +2nrh} (5 marks) 4. Sketch the graph of the function, which satisfies all of the following conditions: a) f'(x)>0 when x 5 c) f'(2)=0 and f'(5)=0 d) f"(x) 4 e) f\"(x)>0 when2