Starting with an initial value of P(0) = 20, the population of a prairie dog community grows at a rate of P'(t) = 40 - (in units of prairie dogs/month), for 0 sts 80 a. What is the population 6 months later? b. Find the population P(t) for 0 st s 80. a. After 6 months, the population is prairie dogs. (Type a whole number. Round to the nearest prairie dog as needed.) b. The population P(t) for 0 st = 80 is P(!) =Consider the velocity function v(t) = - 6 sint for ists 2x. Complete the sentence: The same distance could have been traveled over the given time period at a constant velocity of The same distance could have been traveled over the given time period at a constant velocity of . (Type an exact answer in terms of I.)