Find To(r): Taylor polynomial of degree 6 of the function f(x) = sin(5x) at a = 0. %3D To(z) = Using the Taylor Remainder Theorem, find all values of x for which this approximation is within 0.003042 of the right answer. |z| <

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The first answer is 5x-125/3!x^3+3125/5!x^5. I don't know why it isn't showing up. I'm having trouble with the approxoimation though. Thanks for your help.

 

Find \( T_6(x) \): Taylor polynomial of degree 6 of the function \( f(x) = \sin(5x) \) at \( a = 0 \).

\[ T_6(x) = \]
\[ \text{[Input Box with a check mark]} \]

Using the Taylor Remainder Theorem, find all values of \( x \) for which this approximation is within 0.003042 of the right answer.

\[ |x| \leq \]
\[ \text{[Input Box]} \]
Transcribed Image Text:Find \( T_6(x) \): Taylor polynomial of degree 6 of the function \( f(x) = \sin(5x) \) at \( a = 0 \). \[ T_6(x) = \] \[ \text{[Input Box with a check mark]} \] Using the Taylor Remainder Theorem, find all values of \( x \) for which this approximation is within 0.003042 of the right answer. \[ |x| \leq \] \[ \text{[Input Box]} \]
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