After being closed for approximately 18 months due to a pandemic, Disneyland re-opened to California residents. The folks at Disney's analytics department collected data as ticket holders were entering and leaving the park. Suppose that they found a function E(t) that models the rate at which ticket holders enter the park and another function L(t) that models the rate at which ticket holders leave the park on a given day. Let N(t)= [ E(t)- L(t)dt , where t = 0 is 9 am, the time Disneyland opens (there are no ticket holders in the park at that time). a. What does the statement N(5)=17,000 mean in the context of this problem? b. What is the meaning of N'(11) in the context of the problem?
After being closed for approximately 18 months due to a pandemic, Disneyland re-opened to California residents. The folks at Disney's analytics department collected data as ticket holders were entering and leaving the park. Suppose that they found a function E(t) that models the rate at which ticket holders enter the park and another function L(t) that models the rate at which ticket holders leave the park on a given day. Let N(t)= [ E(t)- L(t)dt , where t = 0 is 9 am, the time Disneyland opens (there are no ticket holders in the park at that time). a. What does the statement N(5)=17,000 mean in the context of this problem? b. What is the meaning of N'(11) in the context of the problem?
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...
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Transcribed Image Text:After being closed for approximately 18 months due to a pandemic, Disneyland re-opened to California
residents. The folks at Disney's analytics department collected data as ticket holders were entering and
leaving the park. Suppose that they found a function E(t) that models the rate at which ticket holders enter
the park and another function L(t) that models the rate at which ticket holders leave the park on a given day.
Let N(t) = [ E(t)– L(t)dt , where t = 0 is 9 am, the time Disneyland opens (there are no ticket holders in the
park at that time).
a.
What does the statement N(5)=17,000 mean in the context of this problem?
b. What is the meaning of N'(11) in the context of the problem?
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