Canvas Group Discussion IV: Applications of Derivatives Problems of the Week Instructions: In order to build community with your classmates, we are collaboratively solving a group of problems every week on Canvas in which you will: For your rst post, explain in detail how to solve one of the problems of the week or provide a partial solution and prompt a question to guide your peers in supporting the remainder of the solution. AND In your second post, you will either: . Respond to a peer with an alternative solution to their problem. . Compare and contrast multiple solutions to the same problem and justify which method is most efcient . Extend the response to an incomplete solution . If a peer's response is incorrect, diplomatically provide the alternative solution and justify the response (Continue on next page) . Describe how you would contextualize the problem in a real application Note: The quality of your response will earn you 0-5 points towards your participation. All problems for the week must be addressed collaboratively among all group members Problems of the Week Menu: Problem 1: Related Rates a. A street light is at the top of a 12 ft. tall pole. A woman 6 ft. tall walks away from the pole with a speed of 8 ./sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft. from the base of the pole? b. A police car is located 40 feet to the side of a straight road. A red car is diving along the road in the direction of the police car and is 200 feet up from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 90 feet per second. How fast was the car actually traveling on the road? c. TRUE or FALSE: If a skater is skating directly away from a 6 meter tall lamp at 7 meters per second, and you want to calculate the rate at which the skater's shadow is increasing in length, then you need to know how tall the skater is but you do not need to know how far the skater has skated. Justify your answer. (Continue on next page) Instructor: Yanii De La Rosa- Walcotr, MS. Class Discussions- Calculus