tioIn vvrunSecolld- order equations. 6. Use the method of Problem 5 to solve the equation 1. nditions. of the dy dt ayb. 7. The field mouse population in Example 1 satisfies the differential equation dyP 450. dt 2 a. Find the time at which the population becomes extinct if p(O) 850. b. Find the time of extinction if p(0) Po, where 0< po< 900 N c. Find the initial population po if the population is to become extinct in 1 year e same. om the fied by 8. The falling object in Example 2 satisfies the initial value to solve problem dv 9.8 v0) 0 dt (31) a. Find the time that must elapse for the object to reach 98% of its limiting velocity. h How far does the object fall in the time found in part a? (221

5) The population of a town is represented by the formula P(t) = A(1.2)'where A is the current population and t is time. Determine, to the nearest tenth of a year, how long it would take the #6 population to reach 3000 people if the current population is 1250.

7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per day find the average number of bacteria in the population over a week.

if f=5 is an equilibrium solution of an equation of change involving df/dx, what is the value of df/dx when f is 5