f(x)=sin(x), n=4,05x (a) Approximate f by a Taylor polynomial with degree in at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T(x) when x lies in the given interval. (Round your answer to six decimal places.) IR₂(x)=[

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Chapter2: Second-order Linear Odes
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Consider the following function.
f(x)=sin(x), =
(a) Approximate f by a Taylor polynomial with degreen at the number a.
T4(x) =
n = 4, osxs
(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = (x) when x lies in the given interval. (Round your answer to six decimal places.)
IR₂(X)IS
Transcribed Image Text:Consider the following function. f(x)=sin(x), = (a) Approximate f by a Taylor polynomial with degreen at the number a. T4(x) = n = 4, osxs (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = (x) when x lies in the given interval. (Round your answer to six decimal places.) IR₂(X)IS
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