The number of snowplows needed by a town can be modeled as s(p) 0.5p 0.01p2 snowplows = where p is the population (in thousands). The projected population of the town t years from now is p(t) 150(1+12e-0.02t)-1 thousand people. = (a) Write the formula for the number of snowplows needed t years from now. s(p(t)) = (b) Write the formula for the rate of change of the number of snowplows needed. ds dt (c) What will be the rate of change of the number of snowplows needed six years from now? (Round your answer to three decimal places.) ds t=6 dt Need Help? Read It