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]
2x-y
2(3)-(-5)
6+5
11
The answer is 11.
Answer:
No solutions
Step-by-step explanation:
-8x+2y = -16
<u> 4x-y = 10</u> [multiply by 2 so it is easier to add/subtract]
-8x+2y = -16
<u> 8x -2y = 20</u>
0 = 4
0 and 4 cant be equal so theres no solution
Step-by-step explanation:
#12)
1 5/8= 8x1 = 8 + 5 = 13
13/8 = 13÷8 = 1.625 and it not a repeating decimal
#13)
5/6 = 5 ÷ 6 = 0.833333 and is a repeating decimal