(S.2)80 of betaisoses metgonbshoxed betisoen od werb eis web pot enter-dong over at ai noisiting laoidoissid bond-tierob odt 04.& amidonI = T 101 bae 0 = 10l diod ganitoteulo - odi ovig analProblem 9 points). For each of the following functions d: R2 x R² →[0, 00), say whether d is a metric. Briefly explain your reasoning.a. d(x, y) = 2d₁(x, y), where di denotes the Manhattan distance.b. d(x, y) = √(x₁ + Y1)² + (x2 + y2)².c. d(x, y) = 1 for all x, y € R².

Answered: Image /qna-images/answer/b3c539b2-26d1-4c65-afb6-dac616857254.jpg

Answered: Problem 9 points). For each of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 9 points). For each of the following functions d: R2 x R² → [0, 00), say whether d is a metric. Briefly explain your reasoning. a. d(x, y) = 2d₁(x, y), where di denotes the Manhattan distance. b. d(x, y) = √(x1 + y1)² + (x2 + y2)². c. d(x, y) = 1 for all x, y € R².