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 (0,0) and k' (H) = ae-bH(1 - bH) %3D 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 H1. You have to explain how you determine the sign of the first derivative on every interval.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
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 (0,0) 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 H1.
You have to explain how you determine the sign of the first derivative on every interval.
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) = aHe-bH for positive constants a and b, with domain (0,0) 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 H1. You have to explain how you determine the sign of the first derivative on every interval.
5.3 What is the maximum oxygen supply?
5.4 How does increasing the value of the constants a and b in the same proportion change the maximum
value of S?
Transcribed Image Text:5.3 What is the maximum oxygen supply? 5.4 How does increasing the value of the constants a and b in the same proportion change the maximum value of S?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning