Let (X, d) be metric and PXIR space, dosy) I+ dexy) a de fined by qusN pusy) = ニ show that p is metric.

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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Let (X, d) be
de fined by guM pusy) =
P:X IR
doxy)
i+ dexy)
a metric space,
and
3.
%3D
show that p is
a metric.
Let p
and d be defined as in question 3.
show that
I: (X, d) (Y, P)
4.
is continuous.
In particular, I' is continuous.
Transcribed Image Text:Let (X, d) be de fined by guM pusy) = P:X IR doxy) i+ dexy) a metric space, and 3. %3D show that p is a metric. Let p and d be defined as in question 3. show that I: (X, d) (Y, P) 4. is continuous. In particular, I' is continuous.
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