Find the taylor polynomial t1(x) for the function f(x)=cos(x) based at b= π/6.
let a be a positive real number and let j be the closed interval [ π/6−a, π/6+a].
use the tangent line error bound to verify that
|f(x)−t1(x)|≤ (a^2)/2
for all x in j.
use this error bound to find a value of a so that
|f(x)−t1(x)|≤ 0.01
for all x in j. (round your answer to four decimal places.)
a= ?

answer: 2530

hope this

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

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step-by-step explanation: