Sensitivity. The reaction R of the body to a dose Q of medication is often represented by the general function R ( Q ) = Q 2 ( k 2 − Q 3 ) where k is a constant and R is in millimeters of mercury (mmHg) if the reaction is a change in blood pressure or in degrees Fahrenheit ( ° F ) if the reaction is a change in temperature. The rate of change d R / d Q is defined to be the body’s sensitivity to the medication. a. Find a formula for the sensitivity. b. b) Explain the meaning of your answer to part (a).
Sensitivity. The reaction R of the body to a dose Q of medication is often represented by the general function R ( Q ) = Q 2 ( k 2 − Q 3 ) where k is a constant and R is in millimeters of mercury (mmHg) if the reaction is a change in blood pressure or in degrees Fahrenheit ( ° F ) if the reaction is a change in temperature. The rate of change d R / d Q is defined to be the body’s sensitivity to the medication. a. Find a formula for the sensitivity. b. b) Explain the meaning of your answer to part (a).
Solution Summary: The author explains how to calculate the formula for sensitivity in the equation R(Q)=Q
Sensitivity. The reaction R of the body to a dose Q of medication is often represented by the general function
R
(
Q
)
=
Q
2
(
k
2
−
Q
3
)
where k is a constant and R is in millimeters of mercury (mmHg) if the reaction is a change in blood pressure or in degrees Fahrenheit
(
°
F
)
if the reaction is a change in temperature. The rate of change
d
R
/
d
Q
is defined to be the body’s sensitivity to the medication.
a. Find a formula for the sensitivity.
b. b) Explain the meaning of your answer to part (a).
Use the properties of logarithms, given that In(2) = 0.6931 and In(3) = 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations. (Round your answers to four decimal places.)
(a) In(0.75)
(b) In(24)
(c) In(18)
1
(d) In
≈
2
72
Find the indefinite integral. (Remember the constant of integration.)
√tan(8x)
tan(8x) sec²(8x) dx
Elementary Statistics: Picturing the World (7th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY