Give an example of a function f which is integrable on (0,1] such that f(z) >0 for all (a) IE (0,1] and fo f(x)dr = 0, but there exists an z€ [0, 1] such that f(r) # 0.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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plz solve both parts within 30-40 mins I'll give you multiple upvote
7. (a)
IE (0,1] and fo f(x)dr = 0, but there exists an z € [0, 1] such that f(r) # 0.
Give an example of a function f which is integrable on (0, 1] such that f(z) > 0 for all
Transcribed Image Text:7. (a) IE (0,1] and fo f(x)dr = 0, but there exists an z € [0, 1] such that f(r) # 0. Give an example of a function f which is integrable on (0, 1] such that f(z) > 0 for all
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