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In a normal respiratory cycle the volume of air that moves into and out of the lungs is about 500 mL. The reserve and residue volumes of air that remain in the lungs occupy about 2000 mL and a single respiratory cycle for an average human takes about 4 seconds. Find a model for the total volume of air $ V(t) $ in the lungs as a function of time.

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v(t)= 2000 + (500)4t

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 3

New Functions from Old Functions

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

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A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.

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In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

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in a normal respiratory cycle. The volume of air that moves into and out of the lungs is about five thousand five hundred millilitres the reserve and residue volumes of air that remained in the lung socket by about two thousand milliliters. And the single respiratory cycle for an average human takes about four seconds. Find a model for the total volume of air V ft in the lungs as a function of time. So we know that on Hear that. Ah, that occupies Long says two thousand. Okay. And for any given time Ah, the vice mayor that moves in and out of lungs is five hundred and we'LL most play that by every four seconds the human being a briefs.

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