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:
9.8699469e+14 and/or 986994690000000
Step-by-step explanation:
Answer:
Pretty sure it's (4, -5)
Step-by-step explanation:
If not, shoot me I guess.
Answer:
Minimum: 3
Maximum: 13
Step-by-step explanation:
Georgia uses the equation
5 = |8 – x| to find the maximum and minimum values.
We solve the equation for x.

By the definition of the absolute value function, we must have:

We subtract 8 from both sides to get:


This simplifies to:

Therefore the minimum value is 3 and maximum is 13
Answer:
30-2x
Step-by-step explanation:
yuson has to finish am total of 30 hours in community service
she does 2 hours each day
in x days, hour of service done=2x
after x days hours of service left=30-2x
therefore the linear equation representing the hours yuson has left after x days is:
30-2x