i Let f(x) = r° and c= 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all z € (a, b). ii Let f(x) = r³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that f(r) > 0 for all z € (a, b). 4.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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#4. i and ii. Thanks. 

i Let f(x) = r° and c= 0.01. Find an interval (a, b) containing c such that f(x) > 0 for
all z € (a, b).
ii Let f(x) = r³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that
f(x) > 0 for all x € (a, b).
4.
Transcribed Image Text:i Let f(x) = r° and c= 0.01. Find an interval (a, b) containing c such that f(x) > 0 for all z € (a, b). ii Let f(x) = r³. Let f(c) > 0 for some c. Find an interval (a, b) containing c such that f(x) > 0 for all x € (a, b). 4.
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