Let g(x) = x 2 0 f(t)dt, where f' is such that ≤ f(t) ≤ 1, for 2 te [0, 1] and 0 ≤ f(t) ≤ and 0 ≤ f(1) ≤ 1/2 for te [1, 2]. Then prove that ≤ g 8 (2) ≤ 1/2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1
Let g(x) =
f(t)dt, where f' is such that ≤ f(t) ≤ 1, for
2
te [0, 1] and 0 ≤ f(t) ≤ 1/ for te [1, 2]. Then prove that
1/2 58 (2) 5/2/1
g
Transcribed Image Text:1 Let g(x) = f(t)dt, where f' is such that ≤ f(t) ≤ 1, for 2 te [0, 1] and 0 ≤ f(t) ≤ 1/ for te [1, 2]. Then prove that 1/2 58 (2) 5/2/1 g
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