The function f(t) = -t(t - 21)(t + 1) can be used to model the measles pathogenesis curve in the figures below. The peak infection time for this function was found to be t, = 14. Use seven subintervals and their midpoints to estimate the total amount of infection needed to develop symptoms of measles. (infected cells/mL) · days N 1500 1000 500 - 10–11 14 17-18 21 (days) Infectiousness Infectiousness Pathogen enters plasma Symptoms аppear Pathogen is cleared begins ends Measles pathogenesis curve Number of infected cells per mL of blood plasma

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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10–11
14
17-18
21
(days)
Infectiousness
Infectiousness
Pathogen
enters plasma
Symptoms
Pathogen
is cleared
begins
ends
appear
Measles pathogenesis curve
N
1000
N= f(t)
(days)
Area under pathogenesis curve up to t, = infection needed for symptoms
Number
Transcribed Image Text:10–11 14 17-18 21 (days) Infectiousness Infectiousness Pathogen enters plasma Symptoms Pathogen is cleared begins ends appear Measles pathogenesis curve N 1000 N= f(t) (days) Area under pathogenesis curve up to t, = infection needed for symptoms Number
The function
f(t) = -t(t – 21)(t + 1)
can be used to model the measles pathogenesis curve in the fiqures below. The peak infection time for this function was found to be t, = 14. Use seven subintervals and their midpoints to
estimate the total amount of infection needed to develop symptoms of measles.
(infected cells/mL) • days
1500
1000 -
500
10-11
14
17-18
21
(days)
Infectiousness
Infectiousness
Pathogen
enters plasma
Symptoms
Pathogen
is cleared
begins
ends
appear
Measles pathogenesis curve
Number of infected cells per mL of blood plasma
Transcribed Image Text:The function f(t) = -t(t – 21)(t + 1) can be used to model the measles pathogenesis curve in the fiqures below. The peak infection time for this function was found to be t, = 14. Use seven subintervals and their midpoints to estimate the total amount of infection needed to develop symptoms of measles. (infected cells/mL) • days 1500 1000 - 500 10-11 14 17-18 21 (days) Infectiousness Infectiousness Pathogen enters plasma Symptoms Pathogen is cleared begins ends appear Measles pathogenesis curve Number of infected cells per mL of blood plasma
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