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b The number of liters of blood pumped through the lungs in one minute is given by C = where b is quantity of oxygen used by the body in one minute, a is the quantity of oxygen per liter of a-v' blood that has just gone through the lungs, and v is the quantity of oxygen per liter of blood that is about to enter the lungs. Suppose a = 160, b=205, and v= 125. Estimate the change in C if a becomes 150, b becomes 200, and v changes to 125. Find the equation for the total differential of C to estimate the change in C. dC=da+db + dv C

b The number of liters of blood pumped through the lungs in one minute is given by C = where b is quantity of oxygen used by the body in one minute, a is the quantity of oxygen per liter of a-v' blood that has just gone through the lungs, and v is the quantity of oxygen per liter of blood that is about to enter the lungs. Suppose a = 160, b=205, and v= 125. Estimate the change in C if a becomes 150, b becomes 200, and v changes to 125. Find the equation for the total differential of C to estimate the change in C. dC=da+db + dv C

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The number of liters of blood pumped through the lungs in one minute is given by \( C = \frac{b}{a-v} \), where \( b \) is the quantity of oxygen used by the body in one minute, \( a \) is the quantity of oxygen per liter of blood that has just gone through the lungs, and \( v \) is the quantity of oxygen per liter of blood that is about to enter the lungs. Suppose \( a = 160 \), \( b = 205 \), and \( v = 125 \). Estimate the change in \( C \) if \( a \) becomes 150, \( b \) becomes 200, and \( v \) changes to 125. Find the equation for the total differential of \( C \) to estimate the change in \( C \). \[ dC = \boxed{} \, da + \boxed{} \, db + \boxed{} \, dv \]
Transcribed Image Text:The number of liters of blood pumped through the lungs in one minute is given by \( C = \frac{b}{a-v} \), where \( b \) is the quantity of oxygen used by the body in one minute, \( a \) is the quantity of oxygen per liter of blood that has just gone through the lungs, and \( v \) is the quantity of oxygen per liter of blood that is about to enter the lungs. Suppose \( a = 160 \), \( b = 205 \), and \( v = 125 \). Estimate the change in \( C \) if \( a \) becomes 150, \( b \) becomes 200, and \( v \) changes to 125. Find the equation for the total differential of \( C \) to estimate the change in \( C \). \[ dC = \boxed{} \, da + \boxed{} \, db + \boxed{} \, dv \]
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