11. The Australian Teal Frog is a species that has become endangered due to inability to defend itself against birds such as crows, eagles, and swans. In order to try and save the frogs, a colony was established on Fantasy Island. The number F(t) of frogs after 1\" months can be modelled by the function: F(t) = t3 21::2 + 1201: + 12 The graph of F(t) against t is shown below. :mni >> Fm I 250 . . . . . . . a. Write down F'(t) b. Find the values of F(2) and F'(2) c. Interpret your answers to part (b) in the context of the population ofthe Australian Teal Frog d. Mark on the diagram the approximate position of any horizontal tangents to the curve. e. Use algebra to find the t coordinate of these points f. Hence state the time period over which the frog population was decreasing and determine the total decline in the number of frogs during this time