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The following graph shows the pathogenesis curve for a certain infectious disease from the time when the pathogen enters the person's blood plasma until the pathogen is cleared from the blood plasma. 1000 500 The curve can be modeled by the function f(t) = -? + 17.6 +7.2t where t is time in days, and f(t) is the number of infected cells per mL of blood plasma. 1. Find the number of infected cells per mL of blood plasma 5 days after the pathogen enters the blood plasma. 2. Find the “peak" day, when the number of infected cells per mL of blood plasma is the greatest. How many days does that happen after infection? What is the number of infected cells per mL of blood plasma at that time? Don't just use the graph. Show your work.

The following graph shows the pathogenesis curve for a certain infectious disease from the time when the pathogen enters the person's blood plasma until the pathogen is cleared from the blood plasma. 1000 500 The curve can be modeled by the function f(t) = -? + 17.6 +7.2t where t is time in days, and f(t) is the number of infected cells per mL of blood plasma. 1. Find the number of infected cells per mL of blood plasma 5 days after the pathogen enters the blood plasma. 2. Find the “peak" day, when the number of infected cells per mL of blood plasma is the greatest. How many days does that happen after infection? What is the number of infected cells per mL of blood plasma at that time? Don't just use the graph. Show your work.

Biochemistry
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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The following graph shows the pathogenesis curve for a certain infectious disease from the time when the pathogen enters the person's blood plasma until the pathogen is cleared from the blood plasma. 1000 500 15 The curve can be modeled by the function f(t) = - ? + 17.6 +7.2t where t is time in days, and f(t) is the number of infected cells per mL of blood plasma. 1. Find the number of infected cells per mL of blood plasma 5 days after the pathogen enters the blood plasma. 2. Find the "peak" day, when the number of infected cells per mL of blood plasma is the greatest. How many days does that happen after infection? What is the number of infected cells per mL of blood plasma at that time? Don't just use the graph. Show your work.
Transcribed Image Text:The following graph shows the pathogenesis curve for a certain infectious disease from the time when the pathogen enters the person's blood plasma until the pathogen is cleared from the blood plasma. 1000 500 15 The curve can be modeled by the function f(t) = - ? + 17.6 +7.2t where t is time in days, and f(t) is the number of infected cells per mL of blood plasma. 1. Find the number of infected cells per mL of blood plasma 5 days after the pathogen enters the blood plasma. 2. Find the "peak" day, when the number of infected cells per mL of blood plasma is the greatest. How many days does that happen after infection? What is the number of infected cells per mL of blood plasma at that time? Don't just use the graph. Show your work.
3. On average, a person has 3 liters of blood plasma. Symptoms appear after 10 days of infection. What is the total number of infected cells in the person's blood plasma on that day? (1 liter = 1000 mL) 4. The area under the graph of f(t) from t = 0 to t= 10 is equal to the total amount of infection (number of infected cells per mL of blood plasma times day) needed to develop symptoms. Estimate the infection for the first 10 days by bounding it using the left and right endpoints of the approximating rectangles. Use 5 rectangles. Report your answer as L<A<R. 5. The midpoint estimation provides a better estimate for the infection during the first 10 days. Find that estimate using 5 rectangles.
Transcribed Image Text:3. On average, a person has 3 liters of blood plasma. Symptoms appear after 10 days of infection. What is the total number of infected cells in the person's blood plasma on that day? (1 liter = 1000 mL) 4. The area under the graph of f(t) from t = 0 to t= 10 is equal to the total amount of infection (number of infected cells per mL of blood plasma times day) needed to develop symptoms. Estimate the infection for the first 10 days by bounding it using the left and right endpoints of the approximating rectangles. Use 5 rectangles. Report your answer as L<A<R. 5. The midpoint estimation provides a better estimate for the infection during the first 10 days. Find that estimate using 5 rectangles.
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