JEE Main 2011 Mathematics question
Let I be the purchase value of an equipment and V(t) be the value after it has been used for t years. The value V(t) depreciates at a rate given by differential equation , where k > 0 is a constant and T is the total life in years of the equipment. Then the scrap value V(T) of the equipment is
Answer: (1)
Solution
, and V(0) = I. So , option (1).