Solve each. a. Find the general solution for the differential equation dx -5 b. Assume a local community has an initial population of 40,293 and is growing at the rate of 2.4% per year. Let P represent the population at time t. i. ii. Write the differential equation modeling this situation. Solve the differential equation (with given initial condition) to find the function that models this population in terms of t years from now. (Although you could know the answer without work, you must show work for this problem) Use Simpson's Rule with n = 6 to approximate the value of 3 f(x)dx. X -3 -2 -1 0 1 2 3 f(x) 13 21 24 27 30 28 27