Chapter 16.4, Problem 24E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Use Exercise 22 to find the centroid of the triangle with vertices (0, 0), (*a*, 0), and (a, *b*), where *a* > 0 and *b >* 0.

To determine

**To find**: The centroid of triangle.

Explanation

**Given data:**

A vertices of triangle are

**Formula used:**

Write the expression for coordinates of centroid

Here,

*A* is the area.

Write the expression for area of triangle

Here,

*a* and *b* are sides of triangle.

The curve *C* is divided into three sub-curves

Write the parametric equations of curve

Differentiate equation (3) with respect to *t*.

Differentiate equation (4) with respect to *t*.

Write the parametric equation of curve

Differentiate equation (5) with respect to *t*.

Differentiate equation (6) with respect to *t*.

Write the parametric equations of curve

Differentiate equation (7) with respect to *t*.

Differentiate equation (8) with respect to *t*.

Find the value of

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