For What Values Of $k$ Does the Function $y = \cos k t$

question 1

Multiple Choice

For what values of $k$ does the function $y = \cos k t$ satisfy the differential equation $49 y ^ { \prime \prime } = - 81 y$ ?

• A) \(k = - \frac { 1 } { 9 }\)
• B) \(k = \frac { 1 } { 9 }\)
• C) \(k = - \frac { 9 } { 7 }\)
• D) \(k = \frac { 1 } { 7 }\)
• E) \(k = \frac { 9 } { 7 }\)

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Definitions:

Saltatory Transmission

The rapid propagation of nerve impulses along myelinated axons from one Node of Ranvier to the next, increasing the speed of electrical signal transmission.

Central Nervous System

The part of the nervous system comprising the brain and spinal cord, responsible for processing and sending out information to the rest of the body.

Limbic System

A complex system of nerves and networks in the brain, involved in various emotional states and biological drives.

Cerebellum

A part of the brain located at the back of the skull in vertebrates, responsible for coordinating muscle movements and maintaining posture and balance.