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. One model used in medicine is that the rate of growth of a tumor is proportional to the size of the tumor. a) Write a differential equation satisfied by S, the size of the tumor, in mm, as a function of time, t. b) Find the general solution to the differential equation. c) If the tumor is 5 mm across at time t = 0, what does that tell you about the solution?

. One model used in medicine is that the rate of growth of a tumor is proportional to the size of the tumor. a) Write a differential equation satisfied by S, the size of the tumor, in mm, as a function of time, t. b) Find the general solution to the differential equation. c) If the tumor is 5 mm across at time t = 0, what does that tell you about the solution?

Calculus: Early Transcendentals
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. One model used in medicine is that the rate of growth of a tumor is proportional to the size of the tumor. a) Write a differential equation satisfied by S, the size of the tumor, in mm, as a function of time, t. Find the general solution to the differential equation. b) c) If the tumor is 5 mm across at time t = 0, what does that tell you about the solution? d) If, in addition, the tumor is 8 mm across at time t = 3, what does that tell you about the solution?
Transcribed Image Text:3. One model used in medicine is that the rate of growth of a tumor is proportional to the size of the tumor. a) Write a differential equation satisfied by S, the size of the tumor, in mm, as a function of time, t. Find the general solution to the differential equation. b) c) If the tumor is 5 mm across at time t = 0, what does that tell you about the solution? d) If, in addition, the tumor is 8 mm across at time t = 3, what does that tell you about the solution?
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