Use the Alternating Series Estimation Theorem or Taylor's Inequality to Estimate

question 112

Short Answer

Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. $\cos x \approx 1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 24 } \quad \mid \text { error } \mid < 0.08$ Write a such that $- a < x < a$ .

Understand the role of environmental and societal factors in promoting a healthy lifestyle.

Apply theories and models like the theory of reasoned action, the theory of planned behavior, and the Transtheoretical Model to facilitate behavior change.

Recognize the importance of risk reduction and lifestyle choices in preventing diseases.

Identify the actions and interventions that promote health and prevent diseases.

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Definitions:

Participant Observation

A method used in social science research involving the immersion of the researcher in the environment of their subjects to observe and engage in their activities to gain a deeper understanding of their culture or behavior.

Median

A statistical measure that represents the middle value in a given set of numbers, where half the numbers are above the median and half are below.

Arithmetic Average

A statistical measure calculated by adding a set of numbers together and then dividing by the count of these numbers.

Sociological Research

The study of society and social behavior by examining the groups, cultures, organizations, social institutions, and processes that people develop.