I know it’s a long question but if you could show me all parts would be highly appreciated it would help me for my test thanks 11. The Australian Teal Frog is a species that has become endangered due to inability to defend itselfagainst birds such as crows, eagles, and swans. In order to try and save the frogs, a colony wasestablished on Fantasy Island.The number F(t) of frogs after t months can be modelled by the function:F(t) = t³ 21t² + 120t + 12The graph of F(t) against t is shown below.>> F(1)300A2502001501001011(0)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 of the Australian TealFrogd. Mark on the diagram the approximate position of any horizontal tangents to the curvele. Use algebra to find the t coordinate of these pointsf.Hence state the time period over which the frog population was decreasing and determinethe total decline in the number of frogs during this time.* I+Ypowered bydesmos

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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 t months can be modelled by the function: F(t) = t³ - 21t² + 120t + 12 The graph of F(t) against t is shown below. >> F(t) 3004 200 150 100 10 d Marko 11 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 of the Australian Teal Frog * I+Y (1) pwd by desmos