Tuesday

March 3, 2015

March 3, 2015

Posted by **Molly** on Sunday, November 11, 2007 at 5:30pm.

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 2-2x. 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 6:47pma. 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**

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 ...

calculus 1 - Suppose that a person’s blood pressure at time t in seconds is ...

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 college - suppose we have a set of blood pressure set with a mean of ...

Statistic & Probability - 17. Determine the appropriate approach to conduct a ...

Physics - I have been given this question and with very little knowledge of ...

statistics - Suppose that a researcher is interested in estimating the mean ...

Physics (please help!!!!) - Blood pressure is usually reported in millimeters of...