8. Using the Mean Value Theorem and Rolle's Theorem, show that³+x-1=0 has exactly one real root.
8. Using the Mean Value Theorem and Rolle's Theorem, show that³+x-1=0 has exactly one real root.
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:8. Using the Mean Value Theorem and Rolle's Theorem, show that 3 + 1 = 0 has exactly one real root.
9. If f (1) = 10 and f'(r) ≤ 2 for 1< < 4 how small can f (4) possibly be?
10. The graph of a function is given below. Determine the intervals on which the function
Phy
-3 -2 -1
concave up and concave down.
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