Answer:
perimeter = 1 3/4
Step-by-step explanation:
1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2
2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4
3. 1 1/2 + 1/4 = <u>1 3/4</u>
Answer:
210,000mg of acetaminophen
Step-by-step explanation:
42 × 5= 210
210 grams
1 g= 1000mg
210g=210,000mg
Hope this helps! :)
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]
25 1/25 is in simplest form.