i.
To calculate: To solve a trapezoidal sum to approximate
i.
Answer to Problem 60EP
The trapezoidal sum is
Explanation of Solution
Given information: The given information as follows:
The rate at which water flows out of a pipe is given by a differentiable function
t(hours) | R(t) (gallons per hour) |
0 | 9.6 |
5 | 10.3 |
10 | 10.9 |
13 | 11.1 |
20 | 10.6 |
24 | 9.6 |
Calculation:
- The trapezoidal rule can be calculated as:
Where
The trapezoidal sum can be calculated as follows:
ii.
To calculate: To justify some time between
ii.
Answer to Problem 60EP
Explanation of Solution
Given information: The given information as follows:
The rate at which water flows out of a pipe is given by a differentiable function
t(hours) | R(t) (gallons per hour) |
0 | 9.6 |
5 | 10.3 |
10 | 10.9 |
13 | 11.1 |
20 | 10.6 |
24 | 9.6 |
Calculation:
Yes, Since
iii.
To calculate: To solve the average rate of water flow during the 24-hour period.
iii.
Answer to Problem 60EP
The average rate of water flow during the 24-hour period is
Explanation of Solution
Given information:
Suppose the rate of water flow is approximated by
Calculation:
Average rate of flow
Average rate of flow can be calculated as:
Chapter 5 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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