Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01. Compare the results obtained with the exact value of f''(1.3).
Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01. Compare the results obtained with the exact value of f''(1.3).
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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Question
Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01.
Compare the results obtained with the exact value of f''(1.3).
![I
1.20
1.29
1.30
1.31
1.40
f(x) 11.59006 13.78176 14.04276 14.30741 16.86187](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9070c6c5-0ad7-48b3-bf67-bdb2b3dba350%2F82e3ea5e-7816-4106-b961-7b87bb638b1f%2Fmjnxexe_processed.png&w=3840&q=75)
Transcribed Image Text:I
1.20
1.29
1.30
1.31
1.40
f(x) 11.59006 13.78176 14.04276 14.30741 16.86187
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