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1. The function f(x) satisfies: f(0) = 0; f'(0) = -1; f'" (0) = 4; f"" (0) = 54, and f(4) (0) = 8. Find the first four non-zero terms of the Maclaurin series for this function. OA. -x +4x2+54x³+8x4 OB. None of these OC.-x+ 2x2 + 9x³ + x4 OD. -1 + 4x + 27x² + x³ OE.-x+ 2x2 + 18x³ + 2x4

1. The function f(x) satisfies: f(0) = 0; f'(0) = -1; f'" (0) = 4; f"" (0) = 54, and f(4) (0) = 8. Find the first four non-zero terms of the Maclaurin series for this function. OA. -x +4x2+54x³+8x4 OB. None of these OC.-x+ 2x2 + 9x³ + x4 OD. -1 + 4x + 27x² + x³ OE.-x+ 2x2 + 18x³ + 2x4

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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1. The function f(x) satisfies: f(0) = 0; f'(0) = -1; f" (0) = 4; f"" (0) = 54, and f(4) (0) = 8. Find the first four non-zero terms of the Maclaurin series for this function. OA. -x+4x2+54x³+8x4 OB. None of these OC.-x+ 2x² + 9x³ + x4 OD. -1+ 4x + 27x² + x³ OE.-x+ 2x²+18x³ + 2x4
Transcribed Image Text:1. The function f(x) satisfies: f(0) = 0; f'(0) = -1; f" (0) = 4; f"" (0) = 54, and f(4) (0) = 8. Find the first four non-zero terms of the Maclaurin series for this function. OA. -x+4x2+54x³+8x4 OB. None of these OC.-x+ 2x² + 9x³ + x4 OD. -1+ 4x + 27x² + x³ OE.-x+ 2x²+18x³ + 2x4
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