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(B) Suppose that g(x) is a real analytic function such that: Find g(7) (-3) (derivative of order 7). Answer: g(7) (-3) = g(x) = (sin n) (x + 3)". n=0

(B) Suppose that g(x) is a real analytic function such that: Find g(7) (-3) (derivative of order 7). Answer: g(7) (-3) = g(x) = (sin n) (x + 3)". n=0

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: ƒ(-3) = 1, ƒ'(-3) = 7, ƒ"(−3) = 1, ƒ""(−3) = −2. Given this information find the best possible approximation of f(-3.3). Answer: f(-3.3) (B) Suppose that g(x) is a real analytic function such that: Find g(7) (-3) (derivative of order 7). Answer: g(7) (-3) = g(x) = (sin n) (x + 3)". n=0
Transcribed Image Text:(A) Suppose that f(x) is a real analytic function such that: ƒ(-3) = 1, ƒ'(-3) = 7, ƒ"(−3) = 1, ƒ""(−3) = −2. Given this information find the best possible approximation of f(-3.3). Answer: f(-3.3) (B) Suppose that g(x) is a real analytic function such that: Find g(7) (-3) (derivative of order 7). Answer: g(7) (-3) = g(x) = (sin n) (x + 3)". n=0
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