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To create a power series for the 1 function f(x): = series for f(x)= (5-x)4 1 (5-x)³' O Differentiate the series for 1 f(x) = (5-x)³ result by -1. O Differentiate the series for 1 f(x) = (5-x)³ result by 3. Differentiate the series for 1 f(x) = (5-x)³ result by 3. O Differentiate the series for 1 f(x) = (5-x)³ result by -3. Differentiate the series for 1 f(x) = (5-x)³ result by -3. None of these. = from the we could then multiply the then multiply the then divide the , then multiply the then divide the 2

To create a power series for the 1 function f(x): = series for f(x)= (5-x)4 1 (5-x)³' O Differentiate the series for 1 f(x) = (5-x)³ result by -1. O Differentiate the series for 1 f(x) = (5-x)³ result by 3. Differentiate the series for 1 f(x) = (5-x)³ result by 3. O Differentiate the series for 1 f(x) = (5-x)³ result by -3. Differentiate the series for 1 f(x) = (5-x)³ result by -3. None of these. = from the we could then multiply the then multiply the then divide the , then multiply the then divide the 2

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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### Creating a Power Series for a Given Function To create a power series for the function: \[ f(x) = \frac{1}{(5-x)^4} \] from the series for: \[ f(x) = \frac{1}{(5-x)^3}, \] we could: - **Option 1:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then multiply the result by -1. - **Option 2:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then multiply the result by 3. - **Option 3:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then divide the result by 3. - **Option 4:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then multiply the result by -3. - **Option 5:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then divide the result by -3. - **Option 6:** None of these.
Transcribed Image Text:### Creating a Power Series for a Given Function To create a power series for the function: \[ f(x) = \frac{1}{(5-x)^4} \] from the series for: \[ f(x) = \frac{1}{(5-x)^3}, \] we could: - **Option 1:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then multiply the result by -1. - **Option 2:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then multiply the result by 3. - **Option 3:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then divide the result by 3. - **Option 4:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then multiply the result by -3. - **Option 5:** Differentiate the series for \[ f(x) = \frac{1}{(5-x)^3}, \] then divide the result by -3. - **Option 6:** None of these.
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