Let y = f(x) be a function differentiable on R with f(0) = 7. If for every x € R, we have d -f(x) ≤ 5, dx which ones of the following statements must be true? f(8) ≤ 38 ☐ f(9) ≥ 53. □f(6) ≥ 31. ☐ f(7) ≤ 42 27 ≤ f(5) ≤ 32. 4 ≤
Let y = f(x) be a function differentiable on R with f(0) = 7. If for every x € R, we have d -f(x) ≤ 5, dx which ones of the following statements must be true? f(8) ≤ 38 ☐ f(9) ≥ 53. □f(6) ≥ 31. ☐ f(7) ≤ 42 27 ≤ f(5) ≤ 32. 4 ≤
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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Transcribed Image Text:Let y = f(x) be a function differentiable on R with f(0) = 7. If for every x € R, we have
d
-f(x) ≤ 5,
dx
which ones of the following statements must be true?
f(8) ≤ 38
☐ f(9) ≥ 53.
□f(6) ≥ 31.
Of(7) ≤ 42
27 ≤ f(5) ≤ 32.
4 ≤
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