Concept explainers
To calculate:The volume of the water in the pool using the trapezoidal rule with n =10.
Answer to Problem 9E
Explanation of Solution
Given information:
A rectangularswimming pool is 30 ft wide and 50 ft long. The table below shows the depth h(x) of the water at 5-fl intervals from one end of the pool to the other. The volume of water in the pool using the Trapezoidal Rule with n z 10‘applied to the integral
Formula used:
Calculation:
In the trapezoidal rule, if [ a , b ] is partitioned into n subintervals of equal length
That is,
Where,
Now, apply the trapezoidal rule with
So,
Now, substitute the values from given table in this equation
Conclusion:
The value of
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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