content area top Part 1 Starting with an initial value of P(0)equals 10, the population of a prairie dog community grows at a rate of Pprime (t)equals30minusStartFraction t Over 2 EndFraction (in units of prairie dogs/month), for 0less than or equals tless than or equals60 . a. What is the population 15 months later? b. Find the population P(t) for 0less than or equals tless than or equals60 . Question content area bottom Part 1 a. After 15 months, the population is enter your response here prairie dogs. (Type a whole number. Round to the nearest prairie dog as needed.)