Let R be the set of real numbers and d: R x R →R be defined as follows.d(x, y) = 3|x-y®l.Then (R, d) isO a pseudo-metric space but not a metric space.not a metric space and not a pseudo-metric space.a metric space but not a pseudo-metric space.O a metric space and a pseudo-metric space. MC Xgle.com/forms/d/e/1FAlpQLSefHYVvyQQ50wZOtTLKOdjqSZGZg31KOzXz2wOIBwMTRKRxdw/formResponseLet d: R2 x R2 R be defined as follows.d(x1, Y1). (X2. y2)) = 3/(x1 - x2)² + G1 - Y2)².Then the closed ball B[(1,0),3] is represented by the blue part inthe above figureNone of thesethe above figure.the above figure

note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Let R be the set of real numbers and d: R x R R be defined as follows. d(x, y) = 3|x - y®I. Then (R, d) is O a pseudo-metric space but not a metric space. O not a metric space and not a pseudo-metric space. O a metric space but not a pseudo-metric space. Oa metric space and a pseudo-metric space.

Let R be the set of real numbers and d: R x R R be defined as follows. d(x, y) = 3|x - y®I. Then (R, d) is O a pseudo-metric space but not a metric space. O not a metric space and not a pseudo-metric space. O a metric space but not a pseudo-metric space. Oa metric space and a pseudo-metric space.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let R be the set of real numbers and d: R x R →R be defined as follows.
d(x, y) = 3|x-y®l.
Then (R, d) is
O a pseudo-metric space but not a metric space.
not a metric space and not a pseudo-metric space.
a metric space but not a pseudo-metric space.
O a metric space and a pseudo-metric space.

MC X
gle.com/forms/d/e/1FAlpQLSefHYVvyQQ50wZOtTLKOdjqSZGZg31KOzXz2wOIBwMTRKRxdw/formResponse
Let d: R2 x R2 R be defined as follows.
d(x1, Y1). (X2. y2)) = 3/(x1 - x2)² + G1 - Y2)².
Then the closed ball B[(1,0),3] is represented by the blue part in
the above figure
None of these
the above figure.
the above figure

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