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The dosage for a certain type of chemotherapy drug depends on several parameters of the particular drug as well as the age, weight, and sex
The dosage for a certain type of chemotherapy drug depends on several parameters of the particular drug as well as the age, weight, and sex w of the patient. For female patients, the formulas giving the dosage for such drugs are D = O.85A(c + 25) and c = (140 WE' where A and x depend on which drug is used, D is the dosage in milligrams (mg), c is called the creatine clearance, y is the patient's age in years, and w is the patient's weight in kilograms. Complete parts (a) through (e) below. (I) a) Suppose that a patient is a 50-year-old woman and the drug has parameters A: 5 and x = 0.7. Use this information to write formulas for D and c that give D as a function of c, and c as a function of w. (Simplify your answers. Round to three decimal places as needed.) dD b) Use your formulas from part (a) to compute 5. dB 5 = D (Simplify your answer. Round to three decimal places as needed.) dc c) Use your formulas from part (a) to compute E' dc E = D (Simplify your answer. Round to three decimal places as needed.) dD d C t . ) ompuedW dD E = D (Simplify your answer. Round to three decimal places as needed.) dD e) Interpret the meaning of the derivative E' Choose the correct answer below. The derivative represents the rate of change in dosage due to changes in the parameterA. The derivative represents the rate of change in dosage due to changes in the weight of the patient. The derivative represents the rate of change in dosage due to changes in the age of the patient. 53.093? The derivative represents the rate of change in dosage due to changes in the parameter x
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