Continuing with the same problem as above: Suppose L(x) = -5x + 1 is the local linearization to h(x) at x=2. And suppose f"(2) >0 for 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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After “And suppose” formula will be h not f
Continuing with the same problem as above:

Suppose \( L(x) = -5x + 1 \) is the local linearization to \( h(x) \) at \( x = 2 \).

And suppose \( h''(2) > 0 \) for \( 2 < x < 3 \).

Is \( L(2.01) \) an over or underestimate of \( h(2.01) \)?

- not enough info to determine
- overestimate
- neither, since they equal
- underestimate
Transcribed Image Text:Continuing with the same problem as above: Suppose \( L(x) = -5x + 1 \) is the local linearization to \( h(x) \) at \( x = 2 \). And suppose \( h''(2) > 0 \) for \( 2 < x < 3 \). Is \( L(2.01) \) an over or underestimate of \( h(2.01) \)? - not enough info to determine - overestimate - neither, since they equal - underestimate
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