Problem 15. A storm washed away sand from a beach, causing the edge of the water to get closer to a nearby road. The rate at which the distance between the road and the edge of the water was changing during the storm is modeled by f(t) = Vi + cos t – 3 meters per hour, t hours after the storm began. The edge of the water was 35 meters from the road when the storm began, and the storm lasted 5 hours. The derivative of f(4) is f'(t) : 1 sin t. (a) What was the distance between the road and the edge of the water at the end of the storm? (b) Using correct units, interpret the value f'(4) = 1.007 in terms of the distance between the road and the edge of the water. (c) At what time during the 5 hours of the storm was the distance between the road and the edge of the water decreasing most rapidly? Justify your answer.

Problem 15. A storm washed away sand from a beach, causing the edge of the water to get closer to a nearby road. The rate at which the distance between the road and the edge of the water was changing during the storm is modeled by f(t) = Vi + cos t – 3 meters per hour, t hours after the storm began. The edge of the water was 35 meters from the road when the storm began, and the storm lasted 5 hours. The derivative of f(4) is f'(t) : 1 sin t. (a) What was the distance between the road and the edge of the water at the end of the storm? (b) Using correct units, interpret the value f'(4) = 1.007 in terms of the distance between the road and the edge of the water. (c) At what time during the 5 hours of the storm was the distance between the road and the edge of the water decreasing most rapidly? Justify your answer.

Name: Problem 15 Problem 15.A storm washed away sand from a beach, causing t
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Problem 15 Problem 15.A storm washed away sand from a beach, causing the edge of the water to get closer to a nearby road. Therate at which the distance between the road and the edge of the water was changing during the storm ismodeled by f(t) = Vi +