MAT 171 Recitation 7 10/11/21-10/14/21 1. The logistic growth function 100000 f (t) = 7 1 + 5000e-t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community. a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill? 2. A city has a population of 1.2 million people in 2003. In 2015, the population has grown to 6.4 million people. a. What is the annual growth rate? b. What is the continuous growth rate? c. Calculate the population of the city in 2022 using each model.3. Convert the angles from degrees to radians or radians to degrees and find the positive, coterminal angle less than 360 = 27. a. 25x b. -7650 C. - 387 d. 4050 4. The half life of the radioactive element plutonium-239 is 25000 years. a. Determine the continuous rate of decay. b. When is 35% of the initial sample remaining? c. If 18 grams of plutonium-239 are initially present, how many grams are present after 75, 000 years? d. Say 18 grams of plutonium-239 are initially present. At what time is there 13 grams present? 2