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The Height hh From Ground Level to a Hanging Cable Suspended Between Two

question 42

Essay

The height hh from ground level to a hanging cable suspended between two utility poles can be described by the function h(x)=a2(ex/a+ex/a)h ( x ) = \frac { a } { 2 } \left( e ^ { x / a } + e ^ { - x / a } \right) , where xx is the horizontal distance in feet, measured from the origin, and aa is the lowest point of the hanging cable.  The height  h  from ground level to a hanging cable suspended between two utility poles can be described by the function  h ( x ) = \frac { a } { 2 } \left( e ^ { x / a } + e ^ { - x / a } \right)  , where  x  is the horizontal distance in feet, measured from the origin, and  a  is the lowest point of the hanging cable.   (a) Find the height of a cable, correct to two decimal places,  10  feet to the right of its origin and its lowest point  10  feet above ground level. (b) Find the height of a cable, correct to two decimal places,  25  feet to the left of its origin and its lowest point  35  feet above ground level.
(a) Find the height of a cable, correct to two decimal places, 1010 feet to the right of its origin and its lowest point
1010 feet above ground level.
(b) Find the height of a cable, correct to two decimal places, 2525 feet to the left of its origin and its lowest point
3535 feet above ground level.


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A network structure where a central node has direct connections to all other nodes, promoting efficiency and control but potentially limiting flexibility.

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Tasks undertaken to keep equipment or systems running efficiently through routine checks and repairs.

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