A doctor is developing a new treatment for patients who have an overabundance of a particular...

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A doctor is developing a new treatment for patients who have an overabundance of a particular chemical in their body. This treatment involves administering the drug Altaria for the first 4 days, followed by the drug Basculin. Before treatment, a patient has 100mg/dL of this chemical in their body. A dosage of a mg of Altaria each day reduces the amount of this chemical to 100 - ax mg/dL on day x. Ab mg dosage of Basculin each day reduces the amount of this chemical to (bx + 1)/(x - 3) mg/dL on day x. Overall, the amount of this chemical in the patient's body may be described by the piecewise function for; ; ; 4 < x. (i) (4pts) The healthy amount of this chemical in a person's body is 20mg/dL. What should the dosage of Basculin be? That is, for what dosage b does lim f(x) = 20? H4X f(x) = {100-ar for; ; ; 0 x 4, bx+1 x-3 (ii) (4pts) Any sudden changes in this chemical is dangerous to the patient. What should the dosage of Altaria be so the patient doesn't experience any sudden changes? That is, for what a does lim f(x) exists. Hint: Use the value for b that you got in part (i). x 4 A doctor is developing a new treatment for patients who have an overabundance of a particular chemical in their body. This treatment involves administering the drug Altaria for the first 4 days, followed by the drug Basculin. Before treatment, a patient has 100mg/dL of this chemical in their body. A dosage of a mg of Altaria each day reduces the amount of this chemical to 100 - ax mg/dL on day x. Ab mg dosage of Basculin each day reduces the amount of this chemical to (bx + 1)/(x - 3) mg/dL on day x. Overall, the amount of this chemical in the patient's body may be described by the piecewise function for; ; ; 4 < x. (i) (4pts) The healthy amount of this chemical in a person's body is 20mg/dL. What should the dosage of Basculin be? That is, for what dosage b does lim f(x) = 20? H4X f(x) = {100-ar for; ; ; 0 x 4, bx+1 x-3 (ii) (4pts) Any sudden changes in this chemical is dangerous to the patient. What should the dosage of Altaria be so the patient doesn't experience any sudden changes? That is, for what a does lim f(x) exists. Hint: Use the value for b that you got in part (i). x 4