5.Let X = R² and define d,:R?xR² → R byd. (x,y, ).(x2,y2)) = max{\x, =x,\-lY, -y=} .a) Verify that dz is a metric on R².b) Draw the neighbourhood N (0; 1) for d2, where 0 is the origin in R ².

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Answered: 5. Let X = R? and define d, : R? ×R² →R…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 58E

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5. Let X = R? and define d, : R? ×R² →R by d (x,,y,),(x,,y2)) = max {x, – x,|-\y, -y}} . 13 a) Verify that d2 is a metric on R?. b) Draw the neighbourhood N (0; 1) for d2, where 0 is the origin in R?.