(a)
To find number of people who entered park by 5:00pm
(a)
Answer to Problem 55RE
Number of people who entered park by 5:00pm
Explanation of Solution
Given:
The rate at which people enter an amusement park on a given day is modelled by the function E is defined by
At
Concept Used:
Application of integrals
Calculation:
Number of people who entered park by 5:00pm
Conclusion:
Number of people who entered park by 5:00pm
(b)
To find number of dollars collected from admissions to the park on the given day
(b)
Answer to Problem 55RE
Number of dollars collected from admissions to the park on the given day=$104,041
Explanation of Solution
Given:
Price of admission to the park until 5:00pm
Price of admission to the park after 5:00pm
Concept Used:
Number of dollars collected from admissions to the park on the given day = number of people (who enter park by 5:00 pm)
Calculation:
Number of people who entered park by 5:00pm
Number of people who entered park between 5:00 pm and 11:00 pm=
Number of dollars collected from admissions to the park on the given day
Conclusion:
Number of dollars collected from admissions to the park on the given day=$104,041
(c)
To find the value of
(c)
Answer to Problem 55RE
Value of
Explanation of Solution
Given:
The value of
Concept Used:
As,
Calculation:
For t=7
Conclusion:
As
(c)
To find time at which number of people in the park is maximum
(c)
Answer to Problem 55RE
At t=15.795 number of people in the park is maximum
Explanation of Solution
Given:
Time t, for
Concept Used:
To find the maximum people in the park using
Calculation:
Solving the equation by using graphing utility to get value of t
Conclusion:
From graph,
At t=15.795 number of people in the park is maximum
Chapter 8 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Calculus: Early Transcendentals (2nd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
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