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10. A medicine is administered to a patient. The amount of medicine M, in milligrams, in 1 mL of the patient's blood, I hours after the injection, is M(1)=²+1, where 0 ≤ t ≤ 3. a. Find the rate of change in the amount M, 2 h after the injection. b. What is the significance of the fact that your answer is negative?

10. A medicine is administered to a patient. The amount of medicine M, in milligrams, in 1 mL of the patient's blood, I hours after the injection, is M(1)=²+1, where 0 ≤ t ≤ 3. a. Find the rate of change in the amount M, 2 h after the injection. b. What is the significance of the fact that your answer is negative?

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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10. A medicine is administered to a patient. The amount of medicine M, in milligrams, in 1 mL of the patient's blood, I hours after the injection, is M(1) = -1² +1, where 0 ≤ i ≤ 3. a. Find the rate of change in the amount M, 2 h after the injection. b. What is the significance of the fact that your answer is negative?
Transcribed Image Text:10. A medicine is administered to a patient. The amount of medicine M, in milligrams, in 1 mL of the patient's blood, I hours after the injection, is M(1) = -1² +1, where 0 ≤ i ≤ 3. a. Find the rate of change in the amount M, 2 h after the injection. b. What is the significance of the fact that your answer is negative?
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