Let ƒ be continuous and nonnegative on [a, b]. Show that there is c € [a, b] with f(c) = (±a få f(x)²dx)². b-a

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.
Chapter6: Applications Of The Derivative
Section6.2: Applications Of Extrema
Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.
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Let f be continuous and nonnegative on [a, b]. Show that there is c = [a, b] with ƒ(c) = (v²a få ƒ(x)²dx)²
Transcribed Image Text:Let f be continuous and nonnegative on [a, b]. Show that there is c = [a, b] with ƒ(c) = (v²a få ƒ(x)²dx)²
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