Let represent the amount of chemical a factory produces as a function of time (in hours). The rate of change of chemical production satisfies the differential equation If the factory alarm is raised when chemical production exceeds in hours, which of the following inequalities represents the maximum initial amount of chemical that guarantees the alarm will not be raised?
Suppose the number of cells in a culture is approximated by at time If satisfies the differential equation and the initial number of cells is what is the approximation for the number of cells in the culture at time
Suppose the ratio of healthy cells to infected cells in a petri dish at time is represented by . If satisfies the logistic differential equation and , what is the value of
Suppose the percentage of people surviving a dangerous virus at time is approximated by , where If satisfies the logistic differential equation at what value of is the survival rate %?
Suppose the population in a park at time is given by , where If at what time does the population in the park reach