3) The revenue produced by a new oil well is $1 million per year initially (t = 0), which is expected to rise uniformly at $5 million per year after 10 years. If we measure time in years and let f(t) denote the revenue (in millions of dollars) per unit of time at time t, it follows that f(t) = 1 +0.4t. If F(t) denotes the total revenue that accumulates over the time interval (0.t), then F'(0) = ). (a) Calculate the total revenue earned during the 10 year period (i.e. F(10)). (b) Find the present value of the revenue stream over the time interval (0, 10), if we assume continuously compounded interest at the rate r = 0.05 per year. 3) The revenue produced by a new oil well is $1 million per year initially (t = 0), which is expected to rise uniformly at $5 million per year after 10 years. If we measure time in years and let f(t) denote the revenue (in millions of dollars) per unit of time at time t, it follows that f(t) = 1 +0.4t. If F(t) denotes the total revenue that accumulates over the time interval (0.t), then F'(0) = ). (a) Calculate the total revenue earned during the 10 year period (i.e. F(10)). (b) Find the present value of the revenue stream over the time interval (0, 10), if we assume continuously compounded interest at the rate r = 0.05 per year