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

question 42

Essay

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.

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Definitions:

Nephrolithiasis

The medical term for kidney stones, which are hard deposits of minerals and salts that form inside the kidneys.

Renal Colic

Severe pain caused by kidney stones blocking the flow of urine.

Oliguria

A medical term for reduced urine output, usually defined as less than 400 milliliters per day in adults.

Olig-

A prefix meaning "few" or "small," used in medical terms to indicate a reduced quantity.