Explanation Formula used: The distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) in coordinate plane is d ( x , y ) = ( x 1 − x 2 ) 2 + ( y 1 − y 2 ) 2 . Calculation: The given function D ( x , y ) gives the square of the distance from the point ( x , y ) to the origin ( 0 , 0 ) . That is, d 2 ( x , y ) = D ( x , y ) . By the formula, the distance from the point ( x , y ) to the origin ( 0 , 0 ) . d ( x , y ) = ( x − 0 ) 2 + ( y − 0 ) 2 = x 2 + y 2 Take square on both sides of the equation d ( x , y ) = x 2 + y 2 to obtain the formula for the square of the distance between two points

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134674148

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Chapter 14.1, Problem 37E

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To find: The formula for the function D(x,y) such that the square of the distance from the point (x,y) to the origin (0,0).

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Chapter 14.1, Problem 36E

Chapter 14.1, Problem 38E

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Chapter 14 Solutions

College Mathematics for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 14.1 - Matched Problem 1 Find C(20, 10) for the cost...Ch. 14.1 - Prob. 2MP Ch. 14.1 - Prob. 3MP Ch. 14.1 - Prob. 4MP Ch. 14.1 - Prob. 5MP Ch. 14.1 - Prob. 6MP Ch. 14.1 - Prob. 7MP Ch. 14.1 - Prob. 1ED Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E

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The formula for the function D ( x , y ) such that the square of the distance from the point ( x , y ) to the origin ( 0 , 0 ) .

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To find: The formula for the function D(x,y) such that the square of the distance from the point (x,y) to the origin (0,0).

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Chapter 14 Solutions