3 a, b (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.)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 "larger" or "smaller"),(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.) Suppose 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) = te-kt%3Dwhere 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.

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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.