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31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x <0 or 2 < x < 4, f'(x) < 0 if 0 < x < 2 orx > 4, f"(x) > 0 if 1 3

31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x <0 or 2 < x < 4, f'(x) < 0 if 0 < x < 2 orx > 4, f"(x) > 0 if 1 3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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28-35 Sketch the graph of a function that satisfies all of the given conditions. 28. (a) f'(x) < 0 and f"(x) < 0 for all x (b) f'(x) > 0 and f"(x) > 0 for all x odi ni 991 odi to dugob odi to daug 29(a) f'(x) > 0 and f"(x) < 0 for all x (b) f'(x) < 0 and f"(x) > 0 for all x 30. Vertical asymptote x = 0, f'(x) > 0 if x < -2, f'(x) < 0 if x > −2 (x = 0), f"(x) < 0 if x < 0, f"(x) > 0 if x > 0 31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x <0 or 2 < x < 4, f'(x) < 0 if 0 < x < 2 or x > 4, f"(x) > 0 if 1<x<3, Limits at Infinity f"(x) < 0 if x < 1 orx > 3 and I
Transcribed Image Text:28-35 Sketch the graph of a function that satisfies all of the given conditions. 28. (a) f'(x) < 0 and f"(x) < 0 for all x (b) f'(x) > 0 and f"(x) > 0 for all x odi ni 991 odi to dugob odi to daug 29(a) f'(x) > 0 and f"(x) < 0 for all x (b) f'(x) < 0 and f"(x) > 0 for all x 30. Vertical asymptote x = 0, f'(x) > 0 if x < -2, f'(x) < 0 if x > −2 (x = 0), f"(x) < 0 if x < 0, f"(x) > 0 if x > 0 31. f'(0) = f'(2) = f'(4) = 0, f'(x) > 0 if x <0 or 2 < x < 4, f'(x) < 0 if 0 < x < 2 or x > 4, f"(x) > 0 if 1<x<3, Limits at Infinity f"(x) < 0 if x < 1 orx > 3 and I
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