When a patient takes a drug, the drug concentration in the blood initially increases quickly, and then declines. A function that describes this behaviour is y(t) - te 70.ot where t 2 0 is the time in hours after the drug is taken To determine how long it takes after the patient takes the drug to reach the maximal concentration and what that maximal concentration is, answer the following questions. a) Compute the derivative of y. 4 Answer. y' (t) - e((-O.6t) In(te)) (0.6in(1)+1 b) Find the positive critical point p of y. Give an exact answer. Answer. p c) Complete the following table Range of t Behaviour of ? Click for List - P Click for List P Click for List d) True or false you can conclude from the previous table that y has a global maximum on (0, co) at p. True False e) At what time is the maximal concentration reached and what is this maximal concentration? Give your answers with an accuracy of two decimal places. Answer: The maximal concentration of Number is reached at Number hours