Use the Given Information to Write an Exponential Equation for Y

question 19

Multiple Choice

Use the given information to write an exponential equation for y. Does the function represent exponential growth or exponential decay? $\frac { d y } { d t } = 2 y , y = 10 \text { when } t = 0$

• A) \(y = 10 e ^ { 2 t } , \text {expontial decay }\)
• B) \(y = 10 e ^ { 2 t } , \text {expontial growth }\)
• C) \(y = 10 e ^ { t } , \text { expontial decay }\)
• D) \(y = e ^ { 2 t } , \text { expontial growth }\)

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Definitions:

Preganglionic Fibers

Nerve fibers that run from the central nervous system to a ganglion in the autonomic nervous system.

Thoracic

Relating to the thorax, the area of the body between the neck and the abdomen that contains the heart and lungs.

Lumbar

Referring to the lower region of the spine, composed of five vertebrae, which bears most of the body's weight and is associated with back pain.

Sympathetic Chain

A part of the autonomic nervous system consisting of a series of nerve fibers that run alongside the spinal column, influencing the body's fight or flight response.