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Glucose Concentration When glucose is infused into a per- son's bloodstream at a constant rate of c grams per minute, the glucose is converted and removed from the bloodstream at a rate proportional to the amount present. The amount of glucose in grams in the bloodstream at time t (in minutes) is given by g(1) rat + ( 80 a where a is a positive constant. Assume go = 0.08, c = 0.1, and a = 1.3. (a) At what time is the amount of glucose a maximum? What is the maximum amount of glucose in the bloodstream? (b) When is the amount of glucose in the blood-stream 0.1 g? (c) What happens to the amount of glucose in the blood- stream after a very long time?

Glucose Concentration When glucose is infused into a per- son's bloodstream at a constant rate of c grams per minute, the glucose is converted and removed from the bloodstream at a rate proportional to the amount present. The amount of glucose in grams in the bloodstream at time t (in minutes) is given by g(1) rat + ( 80 a where a is a positive constant. Assume go = 0.08, c = 0.1, and a = 1.3. (a) At what time is the amount of glucose a maximum? What is the maximum amount of glucose in the bloodstream? (b) When is the amount of glucose in the blood-stream 0.1 g? (c) What happens to the amount of glucose in the blood- stream after a very long time?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Glucose Concentration When glucose is infused into a per- son's bloodstream at a constant rate of c grams per minute, the glucose is converted and removed from the bloodstream at a rate proportional to the amount present. The amount of glucose in grams in the bloodstream at time t (in minutes) is given by g(1) rat + ( 80 a where a is a positive constant. Assume go = 0.08, c = 0.1, and a = 1.3. (a) At what time is the amount of glucose a maximum? What is the maximum amount of glucose in the bloodstream? (b) When is the amount of glucose in the blood-stream 0.1 g? (c) What happens to the amount of glucose in the blood- stream after a very long time?
Transcribed Image Text:Glucose Concentration When glucose is infused into a per- son's bloodstream at a constant rate of c grams per minute, the glucose is converted and removed from the bloodstream at a rate proportional to the amount present. The amount of glucose in grams in the bloodstream at time t (in minutes) is given by g(1) rat + ( 80 a where a is a positive constant. Assume go = 0.08, c = 0.1, and a = 1.3. (a) At what time is the amount of glucose a maximum? What is the maximum amount of glucose in the bloodstream? (b) When is the amount of glucose in the blood-stream 0.1 g? (c) What happens to the amount of glucose in the blood- stream after a very long time?
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