Find the absolute maximum and absolute minimum of f(x) on the given interval f(x) = 2x2 – 4.x +3, [0, 2] S(12) = (-1,2) f(x) = x² +1' f(x) = sin(r) + cos(æ), (0, 3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the absolute maximum and absolute minimum of \( f(x) \) on the given interval:

1. \( f(x) = 2x^2 - 4x + 3 \), interval: \([0, 2]\)

2. \( f(x) = \frac{x^2}{x^2 + 1} \), interval: \([-1, 2]\)

3. \( f(x) = \sin(x) + \cos(x) \), interval: \(\left[0, \frac{\pi}{3}\right]\)
Transcribed Image Text:Find the absolute maximum and absolute minimum of \( f(x) \) on the given interval: 1. \( f(x) = 2x^2 - 4x + 3 \), interval: \([0, 2]\) 2. \( f(x) = \frac{x^2}{x^2 + 1} \), interval: \([-1, 2]\) 3. \( f(x) = \sin(x) + \cos(x) \), interval: \(\left[0, \frac{\pi}{3}\right]\)
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