Explanation Given information: The provided curve is: y = 4 − x , x = 4 and y = 3 . Formula used: Area between two curve: If f and g are continuous functions on [ a , b ] and if f ( x ) ≥ g ( x ) on [ a , b ] , then the area of the region bounded by y = f ( x ) , y = g ( x ) , x = a , and x = b is: A = ∫ a b [ f ( x ) − g ( x ) d x ] Or A = Integral of ( Top − Bottom ) Calculation: Consider the provided equation: y = 4 − x , x = 4 and y = 3 Draw the graph of the above function to check whether f ( x ) ≥ g ( x ) : Calculate the values at different values of x : Substitute x = 0 in the function y = 4 − x . y = 4 − 0 = 2 Substitute x = 1 in the function y = 4 − x . y = 4 − 1 = 1.73 Substitute x = 2 in the function y = 4 − x . y = 4 − 2 = 1.41 Substitute x = − 1 in the function y = 4 − x . y = 4 − ( − 1 ) = 2.23 The table provided below shows the values of the function at different values of x . x y = x + 3 Coordinates ( x , y ) 0 2 ( 0 , 2 ) 1 1.73 ( 1 , 1.73 ) 2 1.41 ( 2 , 1

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 13.3, Problem 26E

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To calculate: The area of the region between y=4−x, x=4 and y=3.

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Chapter 13.3, Problem 25E

Chapter 13.3, Problem 27E

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Chapter 13 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 13.1 - CHECKPOINT 1. For the interval [0, 2]. determine...Ch. 13.1 - Prob. 2CP Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E

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The area of the region between y = 4 − x , x = 4 and y = 3 .

Solution Summary: The author calculates the area of the region between y=sqrt4-x.

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To calculate: The area of the region between y=4−x, x=4 and y=3.

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Chapter 13 Solutions