Answer:
Step-by-step explanation:
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]
''Two one-step equationsx + 7 = 10x = 7-7 = 10 - 7x = 3
y + 47 = 20y = 47 - 47 = 20 - 47y = 27
Two equations that contains fractions + 2 + 3 = 55/5 = or 1
+ 12 + 7 = 1919/20 =
Distributive property2x - 4(+4) = 10(+4)2x - 16 = 402x - 16 + 16 = 40 + 162x = 5656 ÷ 2 = 28x = 28
Decimalsx = 1.2 + 7.8 ÷ 3(5)1.2 + 7.8 = 99 ÷ 3 = 33 x 5 = 1515.0
One real-world problem that is solved by an equationJohnny deposits $2,000 into a bank account. If the interest rate is 5% per month how much will he have gained in interest in 6 years?5% of 2,000 is 100100 x 12 = 1,2001,200 x 6 = 7,200Johnny would gain $7,200 in 6 years''
hope this helps