The time t (in minutes) for a small plane to climb to an altitude of h feet is given by t = 50 log10 (18000/(18000-h)) where 18000 feet is the plane's absolute ceiling. a. Determine the domain of the function appropriate for the context of the problem. b. Graph the function and identify any asymptotes. c. As the plane approaches its absolute ceiling, what can be said about the time required to further increase its altitude. d. Find the amount of time it will take for the plane to climb to an altitude of 4000 feet.
