4. A coal-powered flagship aircraft carrier USS Donald Trump with 6000 officers, sailors and airmen on board is experiencing an outbreak of an infectious decease. On Aug 1, Doctor McCoy reported to Captain America III that out of 50 crew in the engine room at 0600 that morning, 7 exhibited symptoms consistent with COVID-23. While the doctor recommended diverting to Guam immediately, the brave captain dismissed his concerns as "being afraid of a little flu" and ordered to maintain the course. On Aug 7, 42 out 200 sailors mustered at 0600 on Deck C appear to be ill with symptoms of COVID-23. Doctor McCoy decides to confront the captain again. (a) Assuming that the infection has spread uniformly across the ship and grows exponen- tially, estimate the total number of symptomatic officers and crew on Aug 11. (b) The ship needs a minimum of 40% healthy crew in order to be able to safely manoeuver to port. The recovery time for COVID-23 is 30 days. How much time does Captain America III have to avoid the disaster? 4. A coal-powered flagship aircraft carrier USS Donald Trump with 6000 officers, sailors and airmen on board is experiencing an outbreak of an infectious decease. On Aug 1, Doctor McCoy reported to Captain America III that out of 50 crew in the engine room at 0600 that morning, 7 exhibited symptoms consistent with COVID-23. While the doctor recommended diverting to Guam immediately, the brave captain dismissed his concerns as "being afraid of a little flu" and ordered to maintain the course. On Aug 7, 42 out 200 sailors mustered at 0600 on Deck C appear to be ill with symptoms of COVID-23. Doctor McCoy decides to confront the captain again. (a) Assuming that the infection has spread uniformly across the ship and grows exponen- tially, estimate the total number of symptomatic officers and crew on Aug 11. (b) The ship needs a minimum of 40% healthy crew in order to be able to safely manoeuver to port. The recovery time for COVID-23 is 30 days. How much time does Captain America III have to avoid the disaster