Solve for questions 1-4 please

Name: ' ame Lesson 2: Average & Instantaneous Rates of Change MHF4U Summer ; : Expllam the similarities and differences between average and instantaneous rate of change of a unction. Use an example to illustrate your ideas. 2. The population of a colony of rats is changing b : the model P(t) = 5 4 i measured in minutes. il R a) Det-ermme_ th? average rate of change of population during the first 10 minutes. b) Estimate the instantaneous rate of change at = 4 minutes. a) The average rate of change for the interval [-2, -1]. b) The instantaneous rate of change at x = 1. c) 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) = =4.9* 4 12 -+ 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