A contagious and fatal virus has tragically struck the city of Plaguesville, which has been quarantined until the virus has run its course. The function P(t) = 1219 -0.61 gives the number of people who are newly infected t days after the outbreak began (a) Find first and second derivatives P'(1) and P"(t) (b) Solve P(t) = 0, P'(1) =0 and P"(1) =0 Then complete the table (c) Use the table to describe the details of the Plaguesville tragedy (a) Find first and second derivatives P'(t) and P"(1). P'(1) = -2415+3612 P"(1)= -7.212 +721 (b) Solve P(t), P'(1), and P"(1) for 0 in order to complete the table. Days P(t) P'(t) P"(t) 0 0 0 0