The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells in the blood. If S = k(H) = aHe bH for positive constants a and b, with domain (0,00) and K(H) = ae bH(1 – bH) 5.1 Use the definition to find the only critical point H, of k on its domain. 5.2 Use a number line and the first derivative test to show that the oxygen supply is maximised at H..

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells
in the blood. If S =
K(H)
K(H) = ae bH(1 - bH)
-bH
aHe
for positive constants a and b, with domain (0,00) and
5.1 Use the definition to find the only critical point H, ofk on its domain.
5.2 Use a number line and the first derivative test to show that the oxygen supply is maximised at H.
Transcribed Image Text:The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells in the blood. If S = K(H) K(H) = ae bH(1 - bH) -bH aHe for positive constants a and b, with domain (0,00) and 5.1 Use the definition to find the only critical point H, ofk on its domain. 5.2 Use a number line and the first derivative test to show that the oxygen supply is maximised at H.
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