Let & be integrable on an interval [a,b]. It's true that: (a) there exists no E (a,b) such that f'(xo) (b-a) = f (b) -f(a) (b) is continuous in [a,b] (b) f (c) there exists CE [a,b] such that f(c) (b-a) = f(x)dn →f is continuous in [a,b] 1 (d) inf f(x) = (flarda ≤ sup f(x) 2E[a,b] b-a nt (a,bJ (e) there exists c € [a,b] such that f(c)(b-a) = 1 f(x)dx
Let & be integrable on an interval [a,b]. It's true that: (a) there exists no E (a,b) such that f'(xo) (b-a) = f (b) -f(a) (b) is continuous in [a,b] (b) f (c) there exists CE [a,b] such that f(c) (b-a) = f(x)dn →f is continuous in [a,b] 1 (d) inf f(x) = (flarda ≤ sup f(x) 2E[a,b] b-a nt (a,bJ (e) there exists c € [a,b] such that f(c)(b-a) = 1 f(x)dx
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Only one option can be true
![Let & be integrable
on an interval [a,b]. It's true that:
(a) there exists no E (a,b) such that f'(xo) (b-a) = f (b) -f(a)
(b) is continuous in [a,b]
(b) f
(c) there exists CE [a,b] such that f(c) (b-a) = f(x)dn →f is continuous in [a,b]
1
(d) inf f(x) = (flarda ≤ sup f(x)
2E[a,b]
b-a
nt (a,bJ
(e) there exists c € [a,b] such that f(c)(b-a) = 1 f(x)dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6099d21a-e15a-47f8-adbb-0c871c33581f%2Fabe860d8-63a4-46ed-994f-2de432919cfc%2F9weznwo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let & be integrable
on an interval [a,b]. It's true that:
(a) there exists no E (a,b) such that f'(xo) (b-a) = f (b) -f(a)
(b) is continuous in [a,b]
(b) f
(c) there exists CE [a,b] such that f(c) (b-a) = f(x)dn →f is continuous in [a,b]
1
(d) inf f(x) = (flarda ≤ sup f(x)
2E[a,b]
b-a
nt (a,bJ
(e) there exists c € [a,b] such that f(c)(b-a) = 1 f(x)dx
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