CoursHeroTranscribedText: Math 11517 Summer 2023 Written Homework 2 Page 5 of 6 Problem 2: Temperature in a Microwave (24 points) Saul the college calculus student wants to reheat some pizza between study sessions. Saul puts the pizza in the microwave straight from the refrigerator. When the pizza has been heating up for t minutes, its temperature is given by r(t) : 2t3 +37 where r(t) is measured in degrees Fahrenheit. We will use calculus to study how fast the pizza heats up. a) (2 points) What was the temperature of the pizza when Saul took it out of the refrigerator? (Include units.) Temperature: b) (2 points) Saul wants the pizza to be 165. How long should he microwave the pizza to hit this temperature? (Include units.) Time: c) (4 points) Find the average rate of change of the temperature of the pizza during the rst two minutes. (Include units.) Average rate of change: d) (4 points) Find the average rate of change of the temperature of the pizza during the time interval [1,3]. (Include units.) Average rate of change: Math 11517 Summer 2023 Written Homework 2 Page 6 of 6 e) (4 points) Let Ah denote the average rate of change of the temperature during the time interval [3, 3 + h] if h > 0, and the average rate of change of the temperature during the time interval [3 + h. 3] if h