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.

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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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 - Standalone book

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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].

Want to see the full answer?

Chapter 6 Solutions

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