During a flu epidemic, the total number of students on a state university campus who had contracted influenza by the xth day was given by N(x) = 5000/1 + 49e−x (x ≥ 0). (a) How many students had influenza initially? (b)Derive an expression for the rate at which the disease was being spread. N'(x) = Prove that the function N is increasing on the interval (0, ∞). Because N'(x) < > = 0 ?for all x in (0, ∞), we see that N is increasing on (0, ∞).

During a flu epidemic, the total number of students on a state university campus who had contracted influenza by the xth day was given by N(x) = 5000/1 + 49e−x (x ≥ 0). (a) How many students had influenza initially? (b)Derive an expression for the rate at which the disease was being spread. N'(x) = Prove that the function N is increasing on the interval (0, ∞). Because N'(x) < > = 0 ?for all x in (0, ∞), we see that N is increasing on (0, ∞).

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 13PS

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Spread of an Epidemic

During a flu epidemic, the total number of students on a state university campus who had contracted influenza by the xth day was given by

N(x) = 5000/1 + 49e^−x (x ≥ 0).

(a)

How many students had influenza initially?

(b)Derive an expression for the rate at which the disease was being spread.

N'(x) =

Prove that the function N is increasing on the interval (0, ∞).

Because N'(x) < > = 0 ?for all x in (0, ∞), we see that N is increasing on

(0, ∞).

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