q3 3Suppose that when a patient takes a blood thinner drug, the amount of drug (in mg) in the patient'sblood can be modelled by:A(t) = tewhere 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 t > 0) and determine if they are local maximum(s) orminimum(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 thesentences and fill in the blanks.)(write "larger" or "smaller"),For larger values of k the t-value of the critical point would beand 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 beor "smaller"), and for the patient, this means that for larger values of k, .(write "larger"(Write a sentence.)

For a real-valued function bounded and continuous on a closed interval, the function attains…

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(t) = te -kt 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 t > 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.

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(t) = te -kt 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 t > 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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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