To find: The
Answer to Problem 43E
Explanation of Solution
Given information:
The rate at which people joining the line from noon until 5 pm is given by the piece-wise function,
Calculation:
The rate at which people are waiting in the line at any time can be given by the function,
Now, the total number of people waiting at any time
At
The function giving the total number of people waiting in the line from 2 pm to 3 pm is,
At
The function giving the total number of people waiting in the line from 3 pm to 4 pm is,
At
The function giving the total number of people waiting in the line from 3 pm to 4 pm is,
At
Therefore, the piece-wise function for the number of people waiting in the line from noon until 5 pm is,
Conclusion:
The piece-wise function for the number of people waiting in the line from noon until 5 pm is,
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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