1.
Let II be the purchase value of an equipment and V(t)V(t) be the value after it has been used for tt years. The value V(t)V(t) depreciates at a rate given by differential equation dVdt=k(Tt)\frac{dV}{dt} = -k(T-t), where k>0k>0 is a constant and TT is the total life in years of the equipment. Then the scrap value V(T)V(T) of the equipment is: