Find the taylor polynomial t1(x) for the function f(x)=cos(x) based at b= Ļ/6.

let a be a pos...

Mathematics, 02.12.2019 23:00 micahatwood03

# Find the taylor polynomial t1(x) for the function f(x)=cos(x) based at b= Ļ/6.

let a be a positive real number and let j be the closed interval [ Ļ/6āa, Ļ/6+a].

use the tangent line error bound to verify that

|f(x)āt1(x)|ā¤ (a^2)/2

for all x in j.

use this error bound to find a value of a so that

|f(x)āt1(x)|ā¤ 0.01

for all x in j. (round your answer to four decimal places.)

a= ?

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