Find Ay and f'(x)Ax. For y = f(x) = 8 -, x= - 1.9, and Ax=0.1 Ay = at x = - 1.9 and Ax = 0.1 (Do not round until the final answer. Then round to four decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find \( \Delta y \) and \( f'(x)\Delta x \).

For \( y = f(x) = \frac{8}{x^2} \), \( x = -1.9 \), and \( \Delta x = 0.1 \)

\[ \Delta y = \boxed{\phantom{}} \quad \text{at } x = -1.9 \text{ and } \Delta x = 0.1 \]

*(Do not round until the final answer. Then round to four decimal places as needed.)*

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Transcribed Image Text:Find \( \Delta y \) and \( f'(x)\Delta x \). For \( y = f(x) = \frac{8}{x^2} \), \( x = -1.9 \), and \( \Delta x = 0.1 \) \[ \Delta y = \boxed{\phantom{}} \quad \text{at } x = -1.9 \text{ and } \Delta x = 0.1 \] *(Do not round until the final answer. Then round to four decimal places as needed.)* Enter your answer in the answer box and then click Check Answer.
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