The logistic growth function

f left parenthesis t right parenthesis equals StartFraction 106 comma 000 Over 1 plus 5700 e Superscript negative t EndFractionf(t)=106,0001+5700et

describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community.

a. How many people became ill with the flu when the epidemic began?

b. How many people were ill by the end of the fourth week?

c. What is the limiting size of the population that becomes ill?

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Part 1

a. The number of people initially infected is

enter your response here.

(Round to the nearest whole number as needed.)