Provide an Appropriate Response $x$ Can $\tan ^ { - 1 } x$

question 203

Multiple Choice

Provide an appropriate response.
-For approximately what values of $x$ can $\tan ^ { - 1 } x$ be replaced by $x - \frac { x ^ { 3 } } { 3 } + \frac { x ^ { 5 } } { 5 }$ with an error of magnitude no greater than $5 \times 10 ^ { - 8 }$ ?

• A) \(| x | < 0.11699\)
• B) \(| x | < 0.08182\)
• C) \(| x | < 0.11960\)
• D) \(| x | < 0.08395\)

Understand the alternative perspectives on addressing terrorism, including through criminal justice systems.

Recognize the ethical, legal, and practical risks of adopting a war-like approach to terrorism.

Differentiate between the war on terrorism and traditional warfare based on their unique characteristics.

Examine the ethical debates swirling around counterterrorism measures, including the balance between security and human rights.

---

Definitions:

Activated

Made active or operational; refers to initiating processes or mechanisms.

Motivate Behaviour

The process of encouraging actions or conduct towards achieving specific goals through incentives or psychological methods.

Physiological Needs

Fundamental necessities critical for the continuation of human life, including breathing, hydration, nourishment, housing, and rest.

Self-actualization Needs

The highest level in Maslow's hierarchy of needs, referring to the realization of one's potential, self-fulfillment, and seeking personal growth.