How do you define and calculate the area of the region

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 16QGY Chapter 5

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 16QGY

How do you define and calculate the area of the region between the graphs of two continuous functions? Give an example.

Step-by-Step Solution:

Step 1 of 5:

In this question, we have to define and calculate the area of the region through any of an example.

Step 2 of 5:

In the first case, we want to determine the area between on the interval we are also going to assume that

Derived the following formula for the area

Step 3 of 5:

Let us take an example

Area of the region

First of all, we have to determine the intersection points of

Compare the equations and we get

        

Squaring on both sides

        

        

        

Step 4 of 5

Chapter 5, Problem 16QGY is Solved
Step 5 of 5

Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. The answer to “How do you define and calculate the area of the region between the graphs of two continuous functions? Give an example.” is broken down into a number of easy to follow steps, and 21 words. This full solution covers the following key subjects: area, calculate, Continuous, define, Example. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. The full step-by-step solution to problem: 16QGY from chapter: 5 was answered by Sieva Kozinsky, our top Calculus solution expert on 08/01/17, 02:37PM. Since the solution to 16QGY from 5 chapter was answered, more than 221 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th.

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