Mr. Brust is running down his street. His position is given by the function p(t), where t is measured in minutes since the start of his run. His velocity is inversely proportional to the natural logarithm of the time since the start of his run. What is a differential equation that represents this relationship? Use k as a constant.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. Mr. Brust is running down his street. His position is given by the function p(t), where t is measured in
minutes since the start of his run. His velocity is inversely proportional to the natural logarithm of the time
since the start of his run. What is a differential equation that represents this relationship? Use k as a constant.
de
Transcribed Image Text:3. Mr. Brust is running down his street. His position is given by the function p(t), where t is measured in minutes since the start of his run. His velocity is inversely proportional to the natural logarithm of the time since the start of his run. What is a differential equation that represents this relationship? Use k as a constant. de
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