Let D Be a Region Bounded by a Simple Closed

question 112

Multiple Choice

Let D be a region bounded by a simple closed path C in the xy. Then the coordinates of the centroid $( \bar { x } , \bar { y } ) \text { of } D \text { are } \bar { x } = \frac { 1 } { 2 A } \oint _ { C } x ^ { 2 } d y , \bar { y } = - \frac { 1 } { 2 A } \oint _ { C } y ^ { 2 } d x$ where A is the area of D. Find the centroid of the triangle with vertices (0, 0) , ( $4$ , 0) and (0, $8$ ) .

• A) \(\left( \frac { 4 } { 3 } , - \frac { 8 } { 3 } \right)\)
• B) \(\left( \frac { 1 } { 8 } , \frac { 1 } { 8 } \right)\)
• C) \(\left( \frac { 1 } { 8 } , \frac { 1 } { 64 } \right)\)
• D) \(\left( \frac { 1 } { 8 } , \frac { 1 } { 4 } \right)\)
• E) \(\left( \frac { 8 } { 3 } , \frac { 8 } { 3 } \right)\)

Recognize the role of medical assistants in coordinating physical therapy sessions.

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Acquire knowledge on dry heat treatment and its therapeutic effect.

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Definitions:

Traditional Social Life

A way of life that follows long-established patterns of interaction and behavior within a society or community.

Mechanization

Refers to the process of replacing manual labor with machinery and technology to increase efficiency, speed, and productivity in various industries.

Agriculture

The science, art, and business of cultivating soil, producing crops, and raising livestock; a fundamental component of the global economy.

Social Control

Mechanisms, strategies, and institutions used by a society to regulate individual behavior and maintain social order.