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.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
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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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