3. Let r = (4, –3, 1, –5) € R'. Which of the following equals ||r||? (a) 5 (b) 13 (c) V51 (d) v63

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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3. Let x = (4, -3, 1, –5) E R4. Which of the following equals ||r||?
(а) 5
(b) 13
(c) V51
(d) V63
4. TRUE or FALSE. For all p > 1 and for all x E R", ||x||, < ||r|-
(а) True
(b) False
(c)
(d)
5. Which of the following conditions is sufficient to conclude that a subset F of a metric space is closed?
(a) Every Cauchy sequence in F converges to a point in F
(b) F is a union of closed sets.
(c) F is an image of a closed set under a continuous function.
(d) F is not open.
Transcribed Image Text:3. Let x = (4, -3, 1, –5) E R4. Which of the following equals ||r||? (а) 5 (b) 13 (c) V51 (d) V63 4. TRUE or FALSE. For all p > 1 and for all x E R", ||x||, < ||r|- (а) True (b) False (c) (d) 5. Which of the following conditions is sufficient to conclude that a subset F of a metric space is closed? (a) Every Cauchy sequence in F converges to a point in F (b) F is a union of closed sets. (c) F is an image of a closed set under a continuous function. (d) F is not open.
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