Suppose f is a continuous function, and we know the following data: t f(t) 7.5 8 8.5 9 9.5 10 4.4 4.3 3.9 3.8 2.6 2.1 1.8 1.4 10.5 11 For each of the following, consider the function f on the interval [7, 11]. Note that you do not need to simplify any arithmetic!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate M4 (midpoint sum), or explain what extra data we would need to compute it. Suppose we know for certain that f ′(t) < 0 for all t. Compute the upper sum Lower4.
 
 
Suppose f is a continuous function, and we know the following data:
t
f(t)
7.5 8 8.5 9 9.5 10
10.5 11
4.4 4.3 3.9 3.8 2.6 2.1 1.8 1.4
For each of the following, consider the function f on the interval [7, 11]. Note that you do not need to
simplify any arithmetic!
Transcribed Image Text:Suppose f is a continuous function, and we know the following data: t f(t) 7.5 8 8.5 9 9.5 10 10.5 11 4.4 4.3 3.9 3.8 2.6 2.1 1.8 1.4 For each of the following, consider the function f on the interval [7, 11]. Note that you do not need to simplify any arithmetic!
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