Hello I need some help with this question. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

10. At time t (in days), the size S of a population of butterflies is given by the formula 600 S = - 1+49(0.6)' Use the graph below and your knowledge of derivatives to answer the following: (6 marks) a) What is the growth rate after 7 days? b) When does the maximum population occur? c) Explain why the shape of the graph looks this way (ie. what is happening to this population of butterflies)