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where time t> 0 is measured in hours, and where k is some positive constant. (a) Find all critical point(s) of the function A (where 1 > 0) and determine if they are minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point with exact values, and your answers might depend on k.

where time t> 0 is measured in hours, and where k is some positive constant. (a) Find all critical point(s) of the function A (where 1 > 0) and determine if they are minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point with exact values, and your answers might depend on k.

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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3. Suppose that when a patient takes a blood thinner drug, the amount of drug (in mg) in the patient's blood can be modelled by: A(1) = te-k where time i> 0 is measured in hours, and where k is some positive constant. (a) Find all critical point(s) of the function A (where 1 > 0) and determine if they are local maximum(s) or minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point). You should answer with exact values, and your answers might depend on k. (b) Fill in the blanks in the following sentences. (Note: If you are not printing the exam, you can write out the sentences and fill in the blanks.) For larger values of k the t-value of the critical point would be (write "larger" or "smaller"), and for the patient, this means that for larger values of k - . (Write a sentence.) Furthermore, for larger values of k the A-value of the critical point would be (write "larger" or "smaller"), and for the patient, this means that for larger values of k, - (Write a sentence.)
Transcribed Image Text:3. Suppose that when a patient takes a blood thinner drug, the amount of drug (in mg) in the patient's blood can be modelled by: A(1) = te-k where time i> 0 is measured in hours, and where k is some positive constant. (a) Find all critical point(s) of the function A (where 1 > 0) and determine if they are local maximum(s) or minimum(s). Remember to find both t- and A-values (i.e. both coordinates of the point). You should answer with exact values, and your answers might depend on k. (b) Fill in the blanks in the following sentences. (Note: If you are not printing the exam, you can write out the sentences and fill in the blanks.) For larger values of k the t-value of the critical point would be (write "larger" or "smaller"), and for the patient, this means that for larger values of k - . (Write a sentence.) Furthermore, for larger values of k the A-value of the critical point would be (write "larger" or "smaller"), and for the patient, this means that for larger values of k, - (Write a sentence.)
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