Here is the problem (51): I've gotten as far as finding the function that gives the future amount of oil reserves: Q(t)=(2*10^{9}) + 10^{7}((1 - e^{-kt})/k) I have tried working out Q(1), but solving for k is still proving difficult. Any hints?
Follow Math Help Forum on Facebook and Google+
Check your signs - the formula should have Q(t) decreasing with time, not increasing. You should have: If you set t to infinity you get: Set to determine the minimum value of k in terms of and that satisfies the condition.
View Tag Cloud