12. Sketch the graph of a function that satisfies all of given conditions: f(1) = f'(1) = f'(4) = f"(6) = 0 lim f(x)= lim f(x) = -0, 2-0 2-2+ lim f(x) = 1, 8118 lim f(x) = lim f(x) = ∞ z-0+ I-2 lim f(x) = 0 818 f"(x) > 0 for 0 6 f"(x) < 0 for x<0 and 2 < x < 6

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q12 I need exact soloution if you are able to solve then solve this otherwise no need to solve and not try to give me wrong answer plz i request you plz
12. Sketch the graph of a function that satisfies all of given conditions:
f(1) = f'(1) = f'(4) = f'(6) = 0
lim f(x)= lim f(x) = -∞,
2-0
I-2+
lim f(x) = lim f(x) = x
1-0+
1-2
lim f(x) = 1,
lim f(x) = 0
841X
1-x
f"(x) > 0 for 0 < x < 2 and x > 6
f"(x) < 0 for x <0 and 2 < x < 6
Transcribed Image Text:12. Sketch the graph of a function that satisfies all of given conditions: f(1) = f'(1) = f'(4) = f'(6) = 0 lim f(x)= lim f(x) = -∞, 2-0 I-2+ lim f(x) = lim f(x) = x 1-0+ 1-2 lim f(x) = 1, lim f(x) = 0 841X 1-x f"(x) > 0 for 0 < x < 2 and x > 6 f"(x) < 0 for x <0 and 2 < x < 6
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