Consider the data given in the following table 0.45 0.46 0.48 0.49 0.50 0.51 0.52 0.53 f(x)| 1.182 1.262 1.336 1.405 1.481 1.588 1.642 1.693 Find the approximate value of f"(0.5) by using the function values given in the table and the second order central difference formula. Which of the following is the result of this approximation? Your answer: O 3.1840 O 6.9680 O 3.1 O 0.31 none of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the data given in the following table
0.45
0.46
0.48
0.49
0.50
0.51
0.52
0.53
f(x)| 1.182 1.262 | 1.336 1.405 | 1.481 1.588
1.642 | 1,693
Find the approximate value of f"(0.5) by using the function values given in the table and the second order central difference formula. Which of the following is
the result of this approximation?
Your answer:
O 3.1840
O 6.9680
O 3.1
O 0.31
none of the above
Transcribed Image Text:Consider the data given in the following table 0.45 0.46 0.48 0.49 0.50 0.51 0.52 0.53 f(x)| 1.182 1.262 | 1.336 1.405 | 1.481 1.588 1.642 | 1,693 Find the approximate value of f"(0.5) by using the function values given in the table and the second order central difference formula. Which of the following is the result of this approximation? Your answer: O 3.1840 O 6.9680 O 3.1 O 0.31 none of the above
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