3 m O [ Lesson 2 Assignment - Ratesof - x - - O X Y O S8 = & W e y @) (D) File | CyUsers/Andrei/Downloads/Lesson%202%20Assignment%20-%20Rates%200%20Change. pdf Set Microsoft Edge as your default browser Q Edge helps you stay safer online with built-in tools that keep you secure and your browsing data private Notnow x x v Daw v O A | @b | AskCopilot -+ @1 |2 DD Q|3 B S @ & Name: Lesson 2: Average & Instantaneous Rates of Change MHF4U Summer i 1. Explain the similarities and differences between average and instantaneous rate of change of a function. Use an example to illustrate your ideas. 2. The population of a colony of rats is changing by the model P(t) = 5t2 4t + 7 where tis measured in minutes. a) Determine the average rate of change of population during the first 10 minutes. b) Estimate the instantaneous rate of change at t = 4 minutes. 3. Given the following graph, determine: i s a) The average rate of change for the interval [-2, -1]. b) The instantaneous rate of change at x = 1. ) The average rate of change for the interval [-4, 1]. d) The instantaneous rate of change at x = 2. 4. A soccer ball is kicked into the air such that its height (m) after t seconds is given by the function h(t) = 49t% + 12t + 0.5. a) Determine the average rate of change from 1-2 seconds. Interpret your result in the context of the problem. b) Estimate the instantaneous rate of change at t = 1 using the method of your choosing. Interpret your result in the context of the problem. 5. Select one of the questions in the ARoC & IRoC section of the Modified Textbook (questions 5-9) and provide a full solution