Let f be a function with derivatives of all orders for all real numbers and f(3) = 2,f '(3) = 4 , f "(3) = 7,f "'(3) = -3,f *(3) = -2 %3D and f *(x) is graphed to the right f*(x) Show that | f (x) – T3(x)| < 2 for x e [1,4] Write a fourth degree Taylor polynomial for g(x), where g(x) = S* f(t)dt about x = 3 If h(x) = f '(x), then find the coefficient of the 1st degree term of h(x). %3D
Let f be a function with derivatives of all orders for all real numbers and f(3) = 2,f '(3) = 4 , f "(3) = 7,f "'(3) = -3,f *(3) = -2 %3D and f *(x) is graphed to the right f*(x) Show that | f (x) – T3(x)| < 2 for x e [1,4] Write a fourth degree Taylor polynomial for g(x), where g(x) = S* f(t)dt about x = 3 If h(x) = f '(x), then find the coefficient of the 1st degree term of h(x). %3D
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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![Let f be a function with derivatives of all orders for all real numbers
and f(3) = 2,f'(3) = 4 , f "(3) = 7 ,f "'(3) = -3,f *(3) = -2
%3D
and f *(x) is graphed to the right
f*(x)
Show that | f (x) – T3(x)| < 2 for x e [1,4]
Write a fourth degree Taylor polynomial for g(x), where g(x) = S* f(t)dt about x = 3
If h(x) = f '(x), then find the coefficient of the 1st degree term of h(x).
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cb79052-bca3-40df-b183-9f99a1c78003%2Ff94a1966-a4a4-4d01-b45f-8b649d0dda1f%2F03a3z5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f be a function with derivatives of all orders for all real numbers
and f(3) = 2,f'(3) = 4 , f "(3) = 7 ,f "'(3) = -3,f *(3) = -2
%3D
and f *(x) is graphed to the right
f*(x)
Show that | f (x) – T3(x)| < 2 for x e [1,4]
Write a fourth degree Taylor polynomial for g(x), where g(x) = S* f(t)dt about x = 3
If h(x) = f '(x), then find the coefficient of the 1st degree term of h(x).
%3D
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