Explanation The given curves are straight lines and the area enclosed is the triangle with vertices at A, B and C as shown in the sketch. Given: The straight lines with equations x + y = 4 , x = y , 3 x + y = 4 Formula used: Calculation: At A , x + y = 4 , x = y ⇒ A = ( 2 , 2 To determine (b) The area of triangle ABC, using integration

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 6.1, Problem 33E

To determine

(a)

A sketch of the region enclosed by the given curves

To determine

(b)

The area of triangle ABC, using integration

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Chapter 6.1, Problem 32E

Chapter 6.1, Problem 34E

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Chapter 6 Solutions

Calculus - Standalone book

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(a) A sketch of the region enclosed by the given curves

Solution Summary: The author illustrates how triangle ABC is the required shaded region.