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(A) Suppose that f(x) is a real analytic function such that: f(-4)= 0, f'(-4)= 9, f"(-4)= 8, f"(-4)= -5. Given this information find the best possible approximation of f(-4.3). Answer: f(-4.3)~

(A) Suppose that f(x) is a real analytic function such that: f(-4)= 0, f'(-4)= 9, f"(-4)= 8, f"(-4)= -5. Given this information find the best possible approximation of f(-4.3). Answer: 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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(A) Suppose that f(x) is a real analytic function such that: f(-4)= 0, f'(-4)= 9, f"(-4)= 8, f"(-4)= -5. Given this information find the best possible approximation of f(-4.3). Answer: f(-4.3)~ (B) Suppose that g(x) is a real analytic function such that: Find g(6) (-4) (derivative of order 6). Answer: g(6) (-4)= g(x)=(sin n) (x + 4)". n=0
Transcribed Image Text:(A) Suppose that f(x) is a real analytic function such that: f(-4)= 0, f'(-4)= 9, f"(-4)= 8, f"(-4)= -5. Given this information find the best possible approximation of f(-4.3). Answer: f(-4.3)~ (B) Suppose that g(x) is a real analytic function such that: Find g(6) (-4) (derivative of order 6). Answer: g(6) (-4)= g(x)=(sin n) (x + 4)". n=0
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