Answer:
![\bf cos(x)\approx1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{4!}=\\\\=1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{24}](https://tex.z-dn.net/?f=%5Cbf%20cos%28x%29%5Capprox1-%5Cdisplaystyle%5Cfrac%7Bx%5E2%7D%7B2%7D%2B%5Cdisplaystyle%5Cfrac%7Bx%5E4%7D%7B4%21%7D%3D%5C%5C%5C%5C%3D1-%5Cdisplaystyle%5Cfrac%7Bx%5E2%7D%7B2%7D%2B%5Cdisplaystyle%5Cfrac%7Bx%5E4%7D%7B24%7D)
The polynomial is an approximation with an error less than or equals to <em>0.002652</em> 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
<em>f(x)=cos(x)
</em>
<em>
</em>
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]
Answer: (C) {x | x R, x > 3}
Explanation:
Solve the inequality for x:
x -5 > -2 | add 5
x > -2 + 5
x > 3
Solution set: all Reals x > 3, or {x | x R, x > 3}
Answer:
The plane will fly 1830mph.
Step-by-step explanation:
Just multiply 610 (mph) by 3 (# of hours)
23 x 76 is 1748
I hope this helps :)
<h2>
《《♤HEY BUDDY♤》》</h2>
<h2>☆☆☆THIS IS YR ANSWER☆☆☆</h2>
<h2>THE RECIPROCAL OF 5/8 in fraction </h2><h2>IS 8/5 IN FRACTION. </h2>