Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
The nationwide attendance per day for a certain motion picture can be approximated using the equation
​A(t)equals=1515t squaredt2e Superscript negative te−t​,
where A is the attendance per day in thousands of persons and t is the number of months since the release of the film. Find and interpret the rate of change of the daily attendance after 4 months. Round to the nearest thousandth.
 
 
 

Question content area bottom

Part 1
 
A.
4.3964.396
thousand
​persons/daytimes•​month;
the daily attendance is increasing.
 
B.
negative 2.198−2.198
thousand
​persons/daytimes•​month;
the daily attendance is decreasing.
 
C.
negative 4.396−4.396
thousand
​persons/daytimes•​month;
the change in daily attendance is decreasing.
 
D.
2.1982.198
thousand
​persons/daytimes•​month;
the change in the daily attendance is increasing.
The nationwide attendance per day for a certain motion picture can be approximated using the equation A(t) = 15t² et, where A is the attendance per day in thousands of persons and t is the number of months since the release of the film. Find and interpret the rate of change of the daily attendance after 4 months. Round to the nearest thousandth. O A. 4.396 thousand persons/day • month; the daily attendance is increasing. O B. -2.198 thousand persons/day • month; the daily attendance is decreasing. O C. - 4.396 thousand persons/day month; the change in daily attendance is decreasing. O D. 2.198 thousand persons/day • month; the change in the daily attendance is increasing. (...)
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Transcribed Image Text:The nationwide attendance per day for a certain motion picture can be approximated using the equation A(t) = 15t² et, where A is the attendance per day in thousands of persons and t is the number of months since the release of the film. Find and interpret the rate of change of the daily attendance after 4 months. Round to the nearest thousandth. O A. 4.396 thousand persons/day • month; the daily attendance is increasing. O B. -2.198 thousand persons/day • month; the daily attendance is decreasing. O C. - 4.396 thousand persons/day month; the change in daily attendance is decreasing. O D. 2.198 thousand persons/day • month; the change in the daily attendance is increasing. (...)
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