Determine the Values of X for Which the Given Linear $\tan x \approx X$

question 27

Multiple Choice

Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0. $\tan x \approx X$

• A) \(-0.19<\)\(x<0.28\)
• B) \(-0.57<\)\(x<0.57\)
• C) \(0.06<\)\(x<0.68\)
• D) \(-1.04<\)\(x<1.55\)
• E) \(-0.71<\)\(x<0.48\)

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Definitions:

Leptin

A hormone primarily made by adipose cells and enterocytes in the small intestine that helps to regulate energy balance by inhibiting hunger.

Appetite Control

The regulatory processes that govern hunger, satiety, and the consumption of food, involving both psychological and biological mechanisms.

Hormone

A hormone is a chemical substance produced in the body that controls and regulates the activity of certain cells or organs.

Hunger Signals

Biological cues that indicate the need for food, involving hormonal, neural, and physiological mechanisms.