a.
To calculate: The rate of the water at time
a.
Answer to Problem 25E
The rate is
Explanation of Solution
Given information:
The function is
Concept used:
The formula used is
Calculation:
The function is
Differentiate the function with respect to time
Conclusion: The rate is
b.
To calculate: The value of rate when it is fastest and slowest.
b.
Answer to Problem 25E
The value of rate when it is fastest is
Explanation of Solution
Given information:
The function is
Concept used:
The formula used is
Calculation:
The function is
Differentiate the function with respect to time
The rate will be fastest when
The rate will be slowest when
Conclusion: The value of rate when it is fastest is
c.
To calculate: The comparison between the graphs of
c.
Explanation of Solution
Given information:
The function is
Calculation:
The function is
Differentiate the function with respect to time
The graphs of
Conclusion: The particle will be in rest when
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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