Let h(x) be a differentiable function on R. Use MVT to find an upper bound for h(1998) if h(-2) = 2 and h'(x) is at most 1 for all x in R.
Let h(x) be a differentiable function on R. Use MVT to find an upper bound for h(1998) if h(-2) = 2 and h'(x) is at most 1 for all x in R.
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 h(x) be a differentiable function on R. Use MVT to find an
upper bound for h(1998) if h(-2) = 2 and h'(x) is at most 1 for all x in R.
Expert Solution
Step 1
Given : be a differentiable function on and and is at most for all in .
To find : The upper bound for by using Mean Value Theorem.
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