Let a that Note: 1 6- a

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 39RE: How many subsets does the set 1,3,5,...,99 have?
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7. Let a <b. Let f be a continuous function on [a, bl. Prove that there exists cE [a, b such
that
1
f(c) = , F(e)d.
f(t)dt.
Note: This result is sometimes called the "Integral Mean Value Theorem". The quantity
9.
1
| f(t)dt represents the average value of the function f on [a, 6).
6- a
Transcribed Image Text:7. Let a <b. Let f be a continuous function on [a, bl. Prove that there exists cE [a, b such that 1 f(c) = , F(e)d. f(t)dt. Note: This result is sometimes called the "Integral Mean Value Theorem". The quantity 9. 1 | f(t)dt represents the average value of the function f on [a, 6). 6- a
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