For questions 3 and 4, a local fishing site contains an estimated 40000 fish, with natural growth rate of 6% per year. The annual catch by local fisherman depletes this population by about 3000 fish per year. (10) 3) Find the differential equation that models the growth of the fish population and using qualitative analysis sketch a graph of the population vs. time. 4) Based on your answer in question 3, can the current catch be sustained indefinitely? Confirm the result by finding the exact solution of the equation in question 1. (round of your answer to 3 decimal places. If the population becomes extinct, you must show wh does it occur.)