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Write the Word or Phrase That Best Completes Each Statement SS

question 461

Essay

Write the word or phrase that best completes each statement or answers the question.
-The surface area SS (in square inches) of a cylindrical pipe with length 12 inches is given by S(r)=2πr2+24πrS ( r ) = 2 \pi r ^ { 2 } + 24 \pi r , where r\mathrm { r } is the radius of the piston (in inches). If the radius is increasing with time tt (in minutes) according to the formula r(t)=16t2,t0r ( t ) = \frac { 1 } { 6 } t ^ { 2 } , t \geq 0 , find the surface area SS of the pipe as a function of the time tt .

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Definitions:

Thyroid

The thyroid is a butterfly-shaped gland located in the neck, below the Adam's apple, producing hormones that regulate the body's metabolic rate, heart and digestive function, muscle control, brain development, and bone maintenance.

Cricoid

A ring-like cartilage located at the top of the trachea and below the thyroid cartilage, forming the back part of the larynx and providing attachment for muscles involved in opening and closing the airway.

Glottis

The opening between the vocal cords in the larynx, crucial for producing vocal sounds.

Positive Message

Communication that conveys favorable, optimistic, or encouraging information or sentiments.

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