Find All of the Higher-Order Derivatives of X(t)=

question 27

Essay

Find all of the higher-order derivatives of x(t)=
- 3
- x.Use your graphing calculator to graph x(t)and x'(t)on the same axes.Verify that when x(t)is decreasing (sloping downward),the value of x'(t)is negative.Repeat this for x'(t)and x''(t),for x''(t)and x'''(t),and for x'''(t)and
(t).

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Definitions:

Apprehension

The fear or anticipation, especially of a future problem or trouble; in law, it can also refer to the arrest of a person.

Assault

An intentional act that creates a reasonable apprehension of imminent harmful or offensive contact.

Liability

Legal responsibility or obligation to another party, usually in terms of damages or debts.

Battery

A legal violation characterized by the illegal physical realization of a threat, separate from assault that encompasses the action of inducing fear of that contact.