Explanation Given : The equation of lines y = x and y = 8 − x are given. Formula used : Area bounded by two curves along x -axis is calculated using the formula as given below, A r e a = ∫ a b ( U p p e r c u v e – L o w e r c u r v e ) d x Calculation : To plot the given equation of lines, we need to find point of intersection of the two. Symbolically, y = x and y = 8 − x Equating the above two equations, we get 8 − x = x 2 x = 8 x = 4 y = 4 Therefore, we are required to find the area as shown in the figure below.

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 6.1, Problem 30E

To determine

The area under two curves $y = x$ and $y = 8 - x$ in the interval $[2, 3]$ .

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Chapter 6.1, Problem 29E

Chapter 6.1, Problem 31E

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Chapter 6 Solutions

CALCULUS (CLOTH)

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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The area under two curves y = x and y = 8 − x in the interval [ 2 , 3 ] .

Solution Summary: The author explains that the area bounded by the two curves along x -axis is 5 2 sq. units.

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The area under two curves $y = x$ and $y = 8 - x$ in the interval $[2, 3]$ .

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Chapter 6 Solutions

The area under two curves y = x and y = 8 − x in the interval [ 2 , 3 ] .

Solution Summary: The author explains that the area bounded by the two curves along x -axis is 5 2 sq. units.

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The area under two curves y=x and y=8−x in the interval [2,3].

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Chapter 6 Solutions

The area under two curves $y = x$ and $y = 8 - x$ in the interval $[2, 3]$ .