(a)
To Evaluate: The average rates of the water flows from the tank over the time intervals
(a)
Answer to Problem 33E
The average rates of the water flows from the tank over the time intervals
Explanation of Solution
Given:
The volume of the water remaining in the tank after
A tank holds
|
|
5 | 694 |
10 | 444 |
15 | 250 |
20 | 111 |
25 | 28 |
30 | 0 |
Formula used:
Definition of the slope of the line:- The average rates volume of the tank is the change in the function between two numbers
Calculation:
Section1:
Use the definition of the slope of the line to find the average rate of water from the tank.
The interval
Substitute
Thus, The average rates of the water flows from the tank over the time intervals
Section2:
To find the average rates of the water flows from the tank over the time intervals
Use the definition of the slope of the line to find the average rate of water from the tank.
The interval
Substitute
Thus, the average rates of the water flows from the tank over the time intervals
(b)
To find: The average of the slopes of the secant lines in part (a).
(b)
Answer to Problem 33E
The average of the slope of the secant lines in part(a) is
Explanation of Solution
Given:
The volume of the water remaining in the tank after
A tank holds
|
|
5 | 694 |
10 | 444 |
15 | 250 |
20 | 111 |
25 | 28 |
30 | 0 |
Formula used:
Definition of the slope of the line:- The average rates volume of the tank is the change in the function between two numbers
Calculation:
Use the definition of the slope of the line to estimate the rate of water from the tank.
Now, try the values of the
Substitute
Substitute
Substitute
Substitute
Substitute
Now take the average of the slopes of two secants between
Thus, the average slopes of the secant line in part(a) is
Chapter 13 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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