11. Sketch the graph of a function that satisfies all of given conditions: f is continuous on (-∞, ∞) f'(2) = 0, f'(0) = 1, f'(x) > 0 if 0 < x < 2, f"(x) < 0 if 0 < x < 4, f(-x) = -f(x) for all lim f(x) = 0 810 f'(x) < 0 if x > 2 f"(x) > 0 if x > 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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11. Sketch the graph of a function that satisfies all of given conditions:
f is continuous on (-∞0,00)
f'(2) = 0, f'(0) = 1,
f'(x) > 0 if 0 < x < 2,
f"(x) < 0 if 0 < x < 4,
f(-x) = -f(x) for all x
lim f(x) = 0
72-00
f'(x) < 0 if x > 2
f"(x) > 0 if x > 4
Transcribed Image Text:11. Sketch the graph of a function that satisfies all of given conditions: f is continuous on (-∞0,00) f'(2) = 0, f'(0) = 1, f'(x) > 0 if 0 < x < 2, f"(x) < 0 if 0 < x < 4, f(-x) = -f(x) for all x lim f(x) = 0 72-00 f'(x) < 0 if x > 2 f"(x) > 0 if x > 4
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