Multiple choice math problem? **Question:**Which of the following could be true if $ f''(t) = t^{-2/3} $?**Options:**I. $ f(t) = \frac{9}{4} t^{4/3} $II. $ f'(t) = 7 - 3t^{1/3} $III. $ f'''(t) = -\frac{2}{3} t^{-5/3} $- A. I only- B. III only- C. I and II- D. I and III- E. I, II, III

Given that f''t=t−23. We have to check which is the option is correct. Integrate f''t=t−23 with…

Answered: Which of the following could be true if…

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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Which of the following could be true if f"(t) = t/3 I. f(1) = ?t%s II. f'(t) = 7– 3t/3 III. f"(t) = -?t¯/3 А. I only В. I only C. I and II D. I and III Е. I, II, II