Find t5(x) : taylor polynomial of degree 5 of the function f(x)=cos(x) at a=0 . (you need to enter function.) t5(x)= find all values of x for which this opproximation is within 0 < =|| x.002652 of the right answer.

The polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval

[-1.113826815, 1.113826815]

Step-by-step explanation:

According to Taylor's theorem

with

for some c in the interval (-x, x)

In the particular case f

f(x)=cos(x)

we have

therefore

and the polynomial approximation of T5(x) of cos(x) would be

In order to find all the values of x for which this approximation is within 0.002652 of the right answer, we notice that

for some c in (-x,x). So

and we must find the values of x for which

Working this inequality out, we find

Therefore the polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval

[-1.113826815, 1.113826815]

hi!

i believe that john has 55 pieces of candy left.

!

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.