A dorm at a college houses 1200 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students who have been infected after t days is given by N(t)equals=StartFraction 1200 Over 1 plus 18 e Superscript negative 0.65 t EndFraction12001+18e−0.65t. a) After how many days is the flu spreading the fastest? b) Approximately how many students per day are catching the flu on the day found in part (a)? c) How many students have been infected on the day found in part (a)? Question content area bottom Part 1 a) The flu is spreading the fastest after enter your response here days. (Do not round until the final answer. Then round to two decimal places as needed.) Part 2 b) Approximately enter your response here students per day are catching the flu. (Round to the nearest whole number as needed.) Part 3 c) A total of enter your response here students have been infected. (Round to the nearest whole number as needed.)
A dorm at a college houses 1200 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students who have been infected after t days is given by N(t)equals=StartFraction 1200 Over 1 plus 18 e Superscript negative 0.65 t EndFraction12001+18e−0.65t. a) After how many days is the flu spreading the fastest? b) Approximately how many students per day are catching the flu on the day found in part (a)? c) How many students have been infected on the day found in part (a)? Question content area bottom Part 1 a) The flu is spreading the fastest after enter your response here days. (Do not round until the final answer. Then round to two decimal places as needed.) Part 2 b) Approximately enter your response here students per day are catching the flu. (Round to the nearest whole number as needed.) Part 3 c) A total of enter your response here students have been infected. (Round to the nearest whole number as needed.)
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...
Related questions
Question
A dorm at a college houses
1200
students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students who have been infected after t days is given by
N(t)equals=StartFraction 1200 Over 1 plus 18 e Superscript negative 0.65 t EndFraction12001+18e−0.65t.
a) After how many days is the flu spreading the fastest?
b) Approximately how many students per day are catching the flu on the day found in part (a)?
c) How many students have been infected on the day found in part (a)?
Question content area bottom
Part 1
a) The flu is spreading the fastest after
enter your response here
days.(Do not round until the final answer. Then round to two decimal places as needed.)
Part 2
b) Approximately
enter your response here
students per day are catching the
flu.
(Round to the nearest whole number as needed.)
Part 3
c) A total of
enter your response here
students have been infected.(Round to the nearest whole number as needed.)
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