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7. The Von Bertalanffy differential equation has successfully modelled the growth of a human tumo over time, using surface area. The model can be described the following differential equation: aV2/3-bV Note here that V describes the size of the tumor, while a, b are constants. This particular differential equation has the following solution: dV dt V(t) = († + (V(0)¹/³ – e-bt/3)³ Verify that this is a solution to the model, keeping in mind that a, b, and V(0) are all constants. 8. Physicians model the absorption rate of medicine in a body using differential equations. Let C(t) be the concentration of a drug at time t. An example of the change in concentration as a differential equation is as follows: dC dt e-t - C Find an expression for C(t), assuming that, at time 0, there is 0 milligrams of the drug in the body.

7. The Von Bertalanffy differential equation has successfully modelled the growth of a human tumo over time, using surface area. The model can be described the following differential equation: aV2/3-bV Note here that V describes the size of the tumor, while a, b are constants. This particular differential equation has the following solution: dV dt V(t) = († + (V(0)¹/³ – e-bt/3)³ Verify that this is a solution to the model, keeping in mind that a, b, and V(0) are all constants. 8. Physicians model the absorption rate of medicine in a body using differential equations. Let C(t) be the concentration of a drug at time t. An example of the change in concentration as a differential equation is as follows: dC dt e-t - C Find an expression for C(t), assuming that, at time 0, there is 0 milligrams of the drug in the body.

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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7. The Von Bertalanffy differential equation has successfully modelled the growth of a human tumor over time, using surface area. The model can be described the following differential equation: F4 % 5 Note here that V describes the size of the tumor, while a, b are constants. This particular differential equation has the following solution: F5 Verify that this is a solution to the model, keeping in mind that a, b, and V(0) are all constants. 8. Physicians model the absorption rate of medicine in a body using differential equations. Let C(t) be the concentration of a drug at time t. An example of the change in concentration as a differential equation is as follows: A 6 dC dt =et-C Find an expression for C(t), assuming that, at time 0, there is 0 milligrams of the drug in the body. O dV dt MacBook Pro F6 & 7 1 =aV 2/3 3 V(t) = (ª + (V (0)¹/³ - e-bt/3) ³ ◄◄ F7 tv * CO -bV 8 MA DII F8 9 DD F9 W ) 0 F10 P I Aa F11 for + =
Transcribed Image Text:7. The Von Bertalanffy differential equation has successfully modelled the growth of a human tumor over time, using surface area. The model can be described the following differential equation: F4 % 5 Note here that V describes the size of the tumor, while a, b are constants. This particular differential equation has the following solution: F5 Verify that this is a solution to the model, keeping in mind that a, b, and V(0) are all constants. 8. Physicians model the absorption rate of medicine in a body using differential equations. Let C(t) be the concentration of a drug at time t. An example of the change in concentration as a differential equation is as follows: A 6 dC dt =et-C Find an expression for C(t), assuming that, at time 0, there is 0 milligrams of the drug in the body. O dV dt MacBook Pro F6 & 7 1 =aV 2/3 3 V(t) = (ª + (V (0)¹/³ - e-bt/3) ³ ◄◄ F7 tv * CO -bV 8 MA DII F8 9 DD F9 W ) 0 F10 P I Aa F11 for + =
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