7. For continuous functions on [0,1], 1/2 | f(x) | dx < | f(x) |² dx Hint: Recall the Cauchy-Schwarz inequality of page 13.
7. For continuous functions on [0,1], 1/2 | f(x) | dx < | f(x) |² dx Hint: Recall the Cauchy-Schwarz inequality of page 13.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
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![7. For continuous functions on [0,1],
1/2
|f (x) | dx <
| f(x) |² dx
Hint: Recall the Cauchy-Schwarz inequality of page 13.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F750b5ed8-ef93-481e-9d26-d4af5213eedb%2F2007cc1d-cfef-4103-b523-3d3cf6c6297b%2Firuoy81y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. For continuous functions on [0,1],
1/2
|f (x) | dx <
| f(x) |² dx
Hint: Recall the Cauchy-Schwarz inequality of page 13.
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