A newly developed gas well is producing gas at an instantaneous rate of dR 1² 5 t + + 50, dt 2 where R(t) is the number of millions of cubic meters of gas produced after t years of operation. 1. What information can we deduce about the initial state? R(0) = 2. Find R(t). R(t) = 3. How much gas is being produced after 5 years of operation? Gas produced: Check - millions of cubic meters.