Evaluate $f(x)=\sin \left(x^{2}\right)$ , and Tell Whether Its Antiderivative F Is Increasing or Is

question 35

Multiple Choice

Evaluate $f(x) =\sin \left(x^{2}\right)$ , and tell whether its antiderivative F is increasing or decreasing at the point $x=-4$ radians.

• A) - 0.288, increasing
• B) 0.757, decreasing
• C) \(-0.757\) , decreasing
• D) 0.757, increasing
• E) 0.277, decreasing

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Definitions:

Midsaggital Plane

An anatomical plane that divides the body or an organ vertically into equal right and left halves; also known as the median plane.

Thoracic Cavity

The compartment of the body located between the neck and the abdomen, housing organs such as the heart and lungs.

Spinal Cord

The spinal cord is a long, thin, tubular structure made up of nervous tissue that extends from the brainstem to the lower back, conducting signals between the brain and the body and controlling reflexes.

Homeostatic Control

The process by which the body maintains a stable internal environment despite changes in external conditions, involving feedback mechanisms.