Suppose that during normal respiration, the volume of air inhaled per breath (called “tidal volumeâ€�) by a mammal of any size is 6.33 mL per kilogram of body mass. a. Write a function representing the tidal volume T x (in mL) of a mammal of mass x (in kg). b. Write an equation for T − 1 x . c. What does the inverse function represent in the context of this problem? d. Find T − 1 170 and interpret its meaning in context. Round to the nearest whole unit.
Suppose that during normal respiration, the volume of air inhaled per breath (called “tidal volumeâ€�) by a mammal of any size is 6.33 mL per kilogram of body mass. a. Write a function representing the tidal volume T x (in mL) of a mammal of mass x (in kg). b. Write an equation for T − 1 x . c. What does the inverse function represent in the context of this problem? d. Find T − 1 170 and interpret its meaning in context. Round to the nearest whole unit.
Solution Summary: The author explains how to calculate the tidal volume of a mammal of any size during normal respiration.
Suppose that during normal respiration, the volume of air inhaled per breath (called “tidal volume�) by a mammal of any size is 6.33 mL per kilogram of body mass.
a. Write a function representing the tidal volume
T
x
(in mL) of a mammal of mass x (in kg).
b. Write an equation for
T
−
1
x
.
c. What does the inverse function represent in the context of this problem?
d. Find
T
−
1
170
and interpret its meaning in context. Round to the nearest whole unit.
Enter a formula representing the following function.
The gravitational force, F, between two bodies is inversely proportional to the square of the distance d between them.
Use k as the constant of proportionality.
F=
Assume that the rate of change of air pressure with altitude (distance above the earth) is proportional to the air pressure. If the air pressure on the ground is 14.7 psi and if at an altitude of 10, 000 ft it is 10 psi, find the air pressure at an altitude, and find the air pressure at an altitude of 15, 000 ft.Ans. 8.372 psi
College Algebra with Modeling & Visualization (5th Edition)
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