Posted by Molly on Sunday, November 11, 2007 at 5:30pm.
24. A pharmaceutical company has determined that a realistic model for the relationship between blood pressure (systolic) and the amount of a nerve drug designed to reduce the systolic pressure is given by the equation P=Pi + 2x  x^2.
P is measured in millimeters of mercury and x is the number of milligrams of the drug administered 30 minutes before the reading of the pressure P. Pi is the systolic pressure before the medicine is taken and will vary with each patient. However, Pi must fall in the range 200 less than or equal to Pi greater than or equal to 220, for the model to be valid.
a. Determine the rate of change of the systolic pressure P with respect to the amount of drug, x, administered.
b. Determine the minimum amount of the drug that can be administered and still be effective.
c. If a particular patient has an initial systolic pressure of 200 and 10 milligrams of the drug administered, what will the pressure be 30 minutes later?
Note:
For part a. the answer is 22x. Is this because Pi is considered a number between 200 and 220 and the equation P=Pi + 2x  x^2 is then used to find the derivative.

Calculus  drwls, Sunday, November 11, 2007 at 6:47pm
a. dP/dx = 2  2x
b. In order for dP/dx to be negative (and the drug to therefore be effective, x must be >1 mg.
c. If x = 10 and Pi = 200, then P = Pi + 2x  2x^2 after 30 minutes
= 200 +20 200 = 20 mm mercury
Sounds like an overdose to me
Answer This Question
Related Questions
 math  A special diet is intended to reduce systolic blood pressure among ...
 calculus 1  Suppose that a personâ€™s blood pressure at time t in seconds is ...
 statistic  A special diet is intended to reduce systolic blood pressure among ...
 Statistics  Jim's systolic blood pressure is a random variable with a mean of ...
 Statistic  In a population of over 15,000 patients, the distribution of ...
 statistics  Suppose we have a set of blood pressures with a mean of 110 ...
 Statistics  Suppose we have a set of blood pressures with a mean of 120 ...
 Math  The systolic blood pressures of a group of 18yearold women are normally...
 Math  The systolic blood pressure of 18yearold women is normally distributed ...
 Physics  I have been given this question and with very little knowledge of ...
More Related Questions