Question

Question 18 S pts Animal control officers have implemented a 12-month program to eliminate rats in a community. The rate of change of the rat population in this community is given by rkx) 24x9.5 30x rats per month, x months after the program was introduced. I Check: (9) -- 198 R(x) is the rat population x months after the start of the program. R(x) is a specific antiderivative of P(x). Use the fact that nine months after the program was introduced, there were 2,557 rats in this community, to find R(x). Report your value of C below. The value of that makes R(x) a specific antiderivative is your answer,

Answer 1

18 dx tc r(a) = 24x05 - 300 :. R(x) = fready (2405_30x) de + c = 24 x 21 - 30. 2 + 00! -30. I tcx = 16815 - 15x²+ c When x=9, R(x) = 2557 . 2557=16 (9) 's _ 15 x 9 + c 16x27 - 15 X 81+C - 783 + c i c = 2557+783 = 3340