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Given f(3.7)=4.4f(3.7)=4.4 and f'(3.7)=2f′(3.7)=2, approximate f(4.3)f(4.3) using the linearization of ff at 3.73.7: f(4.3)≈f(4.3)≈

Given f(3.7)=4.4f(3.7)=4.4 and f'(3.7)=2f′(3.7)=2, approximate f(4.3)f(4.3) using the linearization of ff at 3.73.7: f(4.3)≈f(4.3)≈

Advanced Engineering Mathematics
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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Given f(3.7)=4.4f(3.7)=4.4 and f'(3.7)=2f′(3.7)=2, approximate f(4.3)f(4.3) using the linearization of ff at 3.73.7:

f(4.3)≈f(4.3)≈ 

[Enter your answer as a whole number (like -4, 0, or 253) or as a decimal number (like 7.43 or -2.15) rounded to 2 decimal places.]

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