To find: the equation of the hyperbola used to generate the hyperboloid of the cooling tower.
Answer to Problem 39E
The equation of the hyperbola is
Explanation of Solution
Given:
The cooling tower is
Eccentricity is
Concept:
The equation of hyperbola
Length of transverse axis
Calculation:
To find the equation of the hyperbola having the length of the transverse axis is
The equation of hyperbola having the transverse axis
Here,
Since, the length of the transverse axis is
To get the value of
Therefore, the equation of the hyperbola used to generate the hyperboloid of the cooling tower is:
Hence, the equation of the hyperbola is
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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