Let f(z) be a function on (0, o0) satisfying the following: f(z) > 0 on the interval (0, o0) f'(z) > 0 on the interval (3, 8) f'(z) < 0 on the intervals (0,3) and (8, 0) • f"(z) >0 on the intervals (0,3) and (5, o0) f"(z) < 0 on the interval (3, 5) • f(z) is differentiable at z = 5 Mark all the correct statements. Note: There are exactly four correct statement. If you mark a wrong statement, it will delete out a correctly marked statement, O fis concave down on (5, 8) Ox = 3 is a critical point of f Of has a horizontal asymptote O 5, (5) is an inflection point of f O13, f(3) is an inflection point of f O fis increasing on (3, 8) Ofis decreasing on (5, 8) Of is concave up on (0,3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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There are more than one correct answer.Please tell all the correct answers.

Let f(z) be a function on (0, 00) satisfying the following:
• f(z) >0 on the interval (0, o0)
• f'(z) > 0 on the interval (3, 8)
• f'(z) <0 on the intervals (0,3) and (8, o0)
• f"(x) > 0 on the intervals (0, 3) and (5, o0)
• f"(z) <0 on the interval (3,5)
• f(z) is differentiable at z = 5
Mark all the correct statements.
Note: There are exactly four correct statement. If you mark a wrong statement, it will delete out a correctly marked statement.
Of is concave down on (5, 8)
Ox = 3 is a critical point of f
Of has a horizontal asymptote
O (5, f(5)) is an inflection point of f
O (3, f(3)) is an inflection point off
Ofis increasing on (3, 8)
Of is decreasing on (5, 8)
Ofis concave up on (0,3)
Transcribed Image Text:Let f(z) be a function on (0, 00) satisfying the following: • f(z) >0 on the interval (0, o0) • f'(z) > 0 on the interval (3, 8) • f'(z) <0 on the intervals (0,3) and (8, o0) • f"(x) > 0 on the intervals (0, 3) and (5, o0) • f"(z) <0 on the interval (3,5) • f(z) is differentiable at z = 5 Mark all the correct statements. Note: There are exactly four correct statement. If you mark a wrong statement, it will delete out a correctly marked statement. Of is concave down on (5, 8) Ox = 3 is a critical point of f Of has a horizontal asymptote O (5, f(5)) is an inflection point of f O (3, f(3)) is an inflection point off Ofis increasing on (3, 8) Of is decreasing on (5, 8) Ofis concave up on (0,3)
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