Chapter 5.5, Problem 36E

BuyFind*arrow_forward*

10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

1 views

**Finding Area** In Exercises 35-40, use a graphing utility to graph the region bounded by the graphs of the functions. Find the area of the region by hand.

To determine

**To graph:** The region bounded by the graphs of functions

Explanation

**Given Information:**

The region bounded by the graphs of

**Graph:**

Consider the following functions,

Use Ti-83 calculator to graph the provided region as follows:

Step 1: Press

Step 2: Press “Window” key. Set the viewing window as,

Step 3: Press “2^{nd}”, “Trace” and then “5” key to compute intersection point. Press “Enter” key three times. The intersection point of two graphs is found as

Press “2^{nd}”, “Trace” and then “5” key to compute intersection point. Press “Enter” key two times. Scroll near to second intersection point. The second intersection point of two graphs is found as

Step 4: Press “2^{nd}”, “Mode”, “2^{nd}” and then “PRGM” key to open “Draw” menu. Scroll to “7:Shade” and press “Enter.”

Step 5: Press “Vars” key, scroll to right and press “Enter” key to open “Functions.” Scroll to “

The graph will be shown as follows:

**Formula used:**

Area of a region bounded by two graphs is calculated using the following formula,

If *f* and *g* are continuous on *x* in *f*, *g*,

**Calculation:**

From the above, the required area is bounded by the graphs of

Sect-5.1 P-1CPSect-5.1 P-2CPSect-5.1 P-3CPSect-5.1 P-4CPSect-5.1 P-5CPSect-5.1 P-6CPSect-5.1 P-7CPSect-5.1 P-8CPSect-5.1 P-1SWUSect-5.1 P-2SWU

Sect-5.1 P-3SWUSect-5.1 P-4SWUSect-5.1 P-5SWUSect-5.1 P-6SWUSect-5.1 P-7SWUSect-5.1 P-8SWUSect-5.1 P-9SWUSect-5.1 P-10SWUSect-5.1 P-1ESect-5.1 P-2ESect-5.1 P-3ESect-5.1 P-4ESect-5.1 P-5ESect-5.1 P-6ESect-5.1 P-7ESect-5.1 P-8ESect-5.1 P-9ESect-5.1 P-10ESect-5.1 P-11ESect-5.1 P-12ESect-5.1 P-13ESect-5.1 P-14ESect-5.1 P-15ESect-5.1 P-16ESect-5.1 P-17ESect-5.1 P-18ESect-5.1 P-19ESect-5.1 P-20ESect-5.1 P-21ESect-5.1 P-22ESect-5.1 P-23ESect-5.1 P-24ESect-5.1 P-25ESect-5.1 P-26ESect-5.1 P-27ESect-5.1 P-28ESect-5.1 P-29ESect-5.1 P-30ESect-5.1 P-31ESect-5.1 P-32ESect-5.1 P-33ESect-5.1 P-34ESect-5.1 P-35ESect-5.1 P-36ESect-5.1 P-37ESect-5.1 P-38ESect-5.1 P-39ESect-5.1 P-40ESect-5.1 P-41ESect-5.1 P-42ESect-5.1 P-43ESect-5.1 P-44ESect-5.1 P-45ESect-5.1 P-46ESect-5.1 P-47ESect-5.1 P-48ESect-5.1 P-49ESect-5.1 P-50ESect-5.1 P-51ESect-5.1 P-52ESect-5.1 P-53ESect-5.1 P-54ESect-5.1 P-55ESect-5.1 P-56ESect-5.1 P-57ESect-5.1 P-58ESect-5.1 P-59ESect-5.1 P-60ESect-5.1 P-61ESect-5.1 P-62ESect-5.1 P-63ESect-5.1 P-64ESect-5.1 P-65ESect-5.1 P-66ESect-5.1 P-67ESect-5.1 P-68ESect-5.1 P-69ESect-5.1 P-70ESect-5.1 P-71ESect-5.1 P-72ESect-5.1 P-73ESect-5.1 P-74ESect-5.1 P-75ESect-5.2 P-1CPSect-5.2 P-2CPSect-5.2 P-3CPSect-5.2 P-4CPSect-5.2 P-5CPSect-5.2 P-6CPSect-5.2 P-7CPSect-5.2 P-8CPSect-5.2 P-1SWUSect-5.2 P-2SWUSect-5.2 P-3SWUSect-5.2 P-4SWUSect-5.2 P-5SWUSect-5.2 P-6SWUSect-5.2 P-7SWUSect-5.2 P-8SWUSect-5.2 P-9SWUSect-5.2 P-1ESect-5.2 P-2ESect-5.2 P-3ESect-5.2 P-4ESect-5.2 P-5ESect-5.2 P-6ESect-5.2 P-7ESect-5.2 P-8ESect-5.2 P-9ESect-5.2 P-10ESect-5.2 P-11ESect-5.2 P-12ESect-5.2 P-13ESect-5.2 P-14ESect-5.2 P-15ESect-5.2 P-16ESect-5.2 P-17ESect-5.2 P-18ESect-5.2 P-19ESect-5.2 P-20ESect-5.2 P-21ESect-5.2 P-22ESect-5.2 P-23ESect-5.2 P-24ESect-5.2 P-25ESect-5.2 P-26ESect-5.2 P-27ESect-5.2 P-28ESect-5.2 P-29ESect-5.2 P-30ESect-5.2 P-31ESect-5.2 P-32ESect-5.2 P-33ESect-5.2 P-34ESect-5.2 P-35ESect-5.2 P-36ESect-5.2 P-37ESect-5.2 P-38ESect-5.2 P-39ESect-5.2 P-40ESect-5.2 P-41ESect-5.2 P-42ESect-5.2 P-43ESect-5.2 P-44ESect-5.2 P-45ESect-5.2 P-46ESect-5.2 P-47ESect-5.2 P-48ESect-5.2 P-49ESect-5.2 P-50ESect-5.2 P-51ESect-5.2 P-52ESect-5.2 P-53ESect-5.2 P-54ESect-5.2 P-55ESect-5.2 P-56ESect-5.2 P-57ESect-5.2 P-58ESect-5.2 P-59ESect-5.2 P-60ESect-5.2 P-61ESect-5.2 P-62ESect-5.3 P-1CPSect-5.3 P-2CPSect-5.3 P-3CPSect-5.3 P-4CPSect-5.3 P-5CPSect-5.3 P-6CPSect-5.3 P-7CPSect-5.3 P-1SWUSect-5.3 P-2SWUSect-5.3 P-3SWUSect-5.3 P-4SWUSect-5.3 P-5SWUSect-5.3 P-6SWUSect-5.3 P-7SWUSect-5.3 P-8SWUSect-5.3 P-1ESect-5.3 P-2ESect-5.3 P-3ESect-5.3 P-4ESect-5.3 P-5ESect-5.3 P-6ESect-5.3 P-7ESect-5.3 P-8ESect-5.3 P-9ESect-5.3 P-10ESect-5.3 P-11ESect-5.3 P-12ESect-5.3 P-13ESect-5.3 P-14ESect-5.3 P-15ESect-5.3 P-16ESect-5.3 P-17ESect-5.3 P-18ESect-5.3 P-19ESect-5.3 P-20ESect-5.3 P-21ESect-5.3 P-22ESect-5.3 P-23ESect-5.3 P-24ESect-5.3 P-25ESect-5.3 P-26ESect-5.3 P-27ESect-5.3 P-28ESect-5.3 P-29ESect-5.3 P-30ESect-5.3 P-31ESect-5.3 P-32ESect-5.3 P-33ESect-5.3 P-34ESect-5.3 P-35ESect-5.3 P-36ESect-5.3 P-37ESect-5.3 P-38ESect-5.3 P-39ESect-5.3 P-40ESect-5.3 P-41ESect-5.3 P-42ESect-5.3 P-43ESect-5.3 P-44ESect-5.3 P-45ESect-5.3 P-46ESect-5.3 P-47ESect-5.3 P-48ESect-5.3 P-49ESect-5.3 P-50ESect-5.3 P-51ESect-5.3 P-52ESect-5.3 P-53ESect-5.3 P-54ESect-5.3 P-55ESect-5.3 P-56ESect-5.3 P-57ESect-5.3 P-58ESect-5.3 P-1QYSect-5.3 P-2QYSect-5.3 P-3QYSect-5.3 P-4QYSect-5.3 P-5QYSect-5.3 P-6QYSect-5.3 P-7QYSect-5.3 P-8QYSect-5.3 P-9QYSect-5.3 P-10QYSect-5.3 P-11QYSect-5.3 P-12QYSect-5.3 P-13QYSect-5.3 P-14QYSect-5.3 P-15QYSect-5.3 P-16QYSect-5.3 P-17QYSect-5.3 P-18QYSect-5.3 P-19QYSect-5.3 P-20QYSect-5.3 P-21QYSect-5.4 P-1CPSect-5.4 P-2CPSect-5.4 P-3CPSect-5.4 P-4CPSect-5.4 P-5CPSect-5.4 P-6CPSect-5.4 P-7CPSect-5.4 P-8CPSect-5.4 P-9CPSect-5.4 P-1SWUSect-5.4 P-2SWUSect-5.4 P-3SWUSect-5.4 P-4SWUSect-5.4 P-5SWUSect-5.4 P-6SWUSect-5.4 P-7SWUSect-5.4 P-1ESect-5.4 P-2ESect-5.4 P-3ESect-5.4 P-4ESect-5.4 P-5ESect-5.4 P-6ESect-5.4 P-7ESect-5.4 P-8ESect-5.4 P-9ESect-5.4 P-10ESect-5.4 P-11ESect-5.4 P-12ESect-5.4 P-13ESect-5.4 P-14ESect-5.4 P-15ESect-5.4 P-16ESect-5.4 P-17ESect-5.4 P-18ESect-5.4 P-19ESect-5.4 P-20ESect-5.4 P-21ESect-5.4 P-22ESect-5.4 P-23ESect-5.4 P-24ESect-5.4 P-25ESect-5.4 P-26ESect-5.4 P-27ESect-5.4 P-28ESect-5.4 P-29ESect-5.4 P-30ESect-5.4 P-31ESect-5.4 P-32ESect-5.4 P-33ESect-5.4 P-34ESect-5.4 P-35ESect-5.4 P-36ESect-5.4 P-37ESect-5.4 P-38ESect-5.4 P-39ESect-5.4 P-40ESect-5.4 P-41ESect-5.4 P-42ESect-5.4 P-43ESect-5.4 P-44ESect-5.4 P-45ESect-5.4 P-46ESect-5.4 P-47ESect-5.4 P-48ESect-5.4 P-49ESect-5.4 P-50ESect-5.4 P-51ESect-5.4 P-52ESect-5.4 P-53ESect-5.4 P-54ESect-5.4 P-55ESect-5.4 P-56ESect-5.4 P-57ESect-5.4 P-58ESect-5.4 P-59ESect-5.4 P-60ESect-5.4 P-61ESect-5.4 P-62ESect-5.4 P-63ESect-5.4 P-64ESect-5.4 P-65ESect-5.4 P-66ESect-5.4 P-67ESect-5.4 P-68ESect-5.4 P-69ESect-5.4 P-70ESect-5.4 P-71ESect-5.4 P-72ESect-5.4 P-73ESect-5.4 P-74ESect-5.4 P-75ESect-5.4 P-76ESect-5.4 P-77ESect-5.4 P-78ESect-5.4 P-79ESect-5.5 P-1CPSect-5.5 P-2CPSect-5.5 P-3CPSect-5.5 P-4CPSect-5.5 P-5CPSect-5.5 P-6CPSect-5.5 P-1SWUSect-5.5 P-2SWUSect-5.5 P-3SWUSect-5.5 P-4SWUSect-5.5 P-5SWUSect-5.5 P-6SWUSect-5.5 P-7SWUSect-5.5 P-8SWUSect-5.5 P-1ESect-5.5 P-2ESect-5.5 P-3ESect-5.5 P-4ESect-5.5 P-5ESect-5.5 P-6ESect-5.5 P-7ESect-5.5 P-8ESect-5.5 P-9ESect-5.5 P-10ESect-5.5 P-11ESect-5.5 P-12ESect-5.5 P-13ESect-5.5 P-14ESect-5.5 P-15ESect-5.5 P-16ESect-5.5 P-17ESect-5.5 P-18ESect-5.5 P-19ESect-5.5 P-20ESect-5.5 P-21ESect-5.5 P-22ESect-5.5 P-23ESect-5.5 P-24ESect-5.5 P-25ESect-5.5 P-26ESect-5.5 P-27ESect-5.5 P-28ESect-5.5 P-29ESect-5.5 P-30ESect-5.5 P-31ESect-5.5 P-32ESect-5.5 P-33ESect-5.5 P-34ESect-5.5 P-35ESect-5.5 P-36ESect-5.5 P-37ESect-5.5 P-38ESect-5.5 P-39ESect-5.5 P-40ESect-5.5 P-41ESect-5.5 P-42ESect-5.5 P-43ESect-5.5 P-44ESect-5.5 P-45ESect-5.5 P-46ESect-5.5 P-47ESect-5.5 P-48ESect-5.5 P-49ESect-5.5 P-50ESect-5.5 P-51ESect-5.5 P-52ESect-5.5 P-53ESect-5.5 P-54ESect-5.5 P-55ESect-5.5 P-56ESect-5.5 P-57ESect-5.5 P-58ESect-5.6 P-1CPSect-5.6 P-2CPSect-5.6 P-3CPSect-5.6 P-1SWUSect-5.6 P-2SWUSect-5.6 P-3SWUSect-5.6 P-4SWUSect-5.6 P-5SWUSect-5.6 P-6SWUSect-5.6 P-7SWUSect-5.6 P-8SWUSect-5.6 P-9SWUSect-5.6 P-10SWUSect-5.6 P-1ESect-5.6 P-2ESect-5.6 P-3ESect-5.6 P-4ESect-5.6 P-5ESect-5.6 P-6ESect-5.6 P-7ESect-5.6 P-8ESect-5.6 P-9ESect-5.6 P-10ESect-5.6 P-11ESect-5.6 P-12ESect-5.6 P-13ESect-5.6 P-14ESect-5.6 P-15ESect-5.6 P-16ESect-5.6 P-17ESect-5.6 P-18ESect-5.6 P-19ESect-5.6 P-20ESect-5.6 P-29ESect-5.6 P-30ESect-5.6 P-31ESect-5.6 P-33ECh-5 P-1RECh-5 P-2RECh-5 P-3RECh-5 P-4RECh-5 P-5RECh-5 P-6RECh-5 P-7RECh-5 P-8RECh-5 P-9RECh-5 P-10RECh-5 P-11RECh-5 P-12RECh-5 P-13RECh-5 P-14RECh-5 P-15RECh-5 P-16RECh-5 P-17RECh-5 P-18RECh-5 P-19RECh-5 P-20RECh-5 P-21RECh-5 P-22RECh-5 P-23RECh-5 P-24RECh-5 P-25RECh-5 P-26RECh-5 P-27RECh-5 P-28RECh-5 P-29RECh-5 P-30RECh-5 P-31RECh-5 P-32RECh-5 P-33RECh-5 P-34RECh-5 P-35RECh-5 P-36RECh-5 P-37RECh-5 P-38RECh-5 P-39RECh-5 P-40RECh-5 P-41RECh-5 P-42RECh-5 P-43RECh-5 P-44RECh-5 P-45RECh-5 P-46RECh-5 P-47RECh-5 P-48RECh-5 P-49RECh-5 P-50RECh-5 P-51RECh-5 P-52RECh-5 P-53RECh-5 P-54RECh-5 P-55RECh-5 P-56RECh-5 P-57RECh-5 P-58RECh-5 P-59RECh-5 P-60RECh-5 P-61RECh-5 P-62RECh-5 P-63RECh-5 P-64RECh-5 P-65RECh-5 P-66RECh-5 P-67RECh-5 P-68RECh-5 P-69RECh-5 P-70RECh-5 P-71RECh-5 P-72RECh-5 P-73RECh-5 P-74RECh-5 P-75RECh-5 P-76RECh-5 P-77RECh-5 P-78RECh-5 P-79RECh-5 P-80RECh-5 P-81RECh-5 P-82RECh-5 P-83RECh-5 P-84RECh-5 P-85RECh-5 P-86RECh-5 P-87RECh-5 P-88RECh-5 P-89RECh-5 P-90RECh-5 P-91RECh-5 P-92RECh-5 P-93RECh-5 P-94RECh-5 P-95RECh-5 P-96RECh-5 P-97RECh-5 P-98RECh-5 P-99RECh-5 P-100RECh-5 P-101RECh-5 P-102RECh-5 P-103RECh-5 P-104RECh-5 P-105RECh-5 P-106RECh-5 P-107RECh-5 P-108RECh-5 P-109RECh-5 P-110RECh-5 P-111RECh-5 P-112RECh-5 P-113RECh-5 P-114RECh-5 P-115RECh-5 P-1TYSCh-5 P-2TYSCh-5 P-3TYSCh-5 P-4TYSCh-5 P-5TYSCh-5 P-6TYSCh-5 P-7TYSCh-5 P-8TYSCh-5 P-9TYSCh-5 P-10TYSCh-5 P-11TYSCh-5 P-12TYSCh-5 P-13TYSCh-5 P-14TYSCh-5 P-15TYSCh-5 P-16TYSCh-5 P-17TYSCh-5 P-18TYSCh-5 P-19TYSCh-5 P-20TYSCh-5 P-21TYSCh-5 P-22TYS

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendentals

Multivariable Calculus

Finite Mathematics and Applied Calculus (MindTap Course List)

Applied Calculus

Calculus: Early Transcendental Functions

Single Variable Calculus: Early Transcendentals, Volume I

Essentials Of Statistics

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Single Variable Calculus

Mathematical Applications for the Management, Life, and Social Sciences

Probability and Statistics for Engineering and the Sciences

Mathematical Excursions (MindTap Course List)

Finite Mathematics

Intermediate Algebra

Single Variable Calculus: Early Transcendentals

Elements Of Modern Algebra

Elementary Geometry For College Students, 7e

Contemporary Mathematics for Business & Consumers

Trigonometry (MindTap Course List)

Elementary Technical Mathematics

Calculus of a Single Variable

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students

Study Guide for Stewart's Multivariable Calculus, 8th

Calculus (MindTap Course List)

Multivariable Calculus

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Mathematics For Machine Technology

Mathematics: A Practical Odyssey

Research Methods for the Behavioral Sciences (MindTap Course List)

Introduction To Statistics And Data Analysis

Research Methods for the Behavioral Sciences (MindTap Course List)

STATISTICS F/BUSINESS+ECONOMICS-TEXT

College Algebra (MindTap Course List)

Statistics for Business & Economics, Revised (MindTap Course List)