Answer:

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:
DGF = 106
Step-by-step explanation:
Bisects means to divide in half, with two equal parts
DGF = DGE + EGF
DGE = EGF
DGF = DGE + DGE
DGF = 53+53
DGF = 106
Let's find the least possibilities:
First number: 6
Second number: 8
Third number: 10
6 + 8 + 10 = 24
Now we can see that we are still missing 31 - 24 = 7.
7 can be gained by adding 3 and 4, so:
First number: 6 + 3 = 9
Second number: 8 + 4 = 12
Third number: 10
9 + 12 + 10 = 31
Answer:
a/c=2/7 u are welcome thanks for ur help
Answer:
D
Step-by-step explanation:
Given
- 5x³ + 10x² ← factor out - 5x² from each term
= - 5x²(x - 2) → D