Concept explainers
a.
Explain to approximate the force against the end of the tank by a Reimann sum.
a.
Answer to Problem 14E
Explanation of Solution
Given information: The vertical end of a tank containing water weighing
Shape- semiellipse.
Calculation:
The force of the water against the end of the tank can be approximated by diving the height into k partitions and evaluating the Riemann sum,
Hence,
b.
To find the force as an integral and evaluate it.
b.
Answer to Problem 14E
The required solution is 7987.2.
Explanation of Solution
Given information: The vertical end of a tank containing water weighing
Shape- semiellipse.
Calculation:
As per the given problem,
Which by taking the limit as
Hence, the required solution is 7987.2.
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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