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]
I = prt
p = 7430
r = 5%....turn to decimal = 0.05
t = 3
I = (7430)(0.05)(3)
I = 1114.50 <===
Hey there!
Finding something that’s equivalent to: 4m - 20
Option A.
4(m - 5)
= 4(m) + 4(-5)
= 4m - 20
Possibly Option A. is your answer.
Option B.
2(2m - 10)
= 2(2m) + 2(-10)
= 4m - 20
Possibly Option B. could be your answer
Option C.
4(m - 20)
= 4(m) + 4(-20)
= 4m - 80
Optipn C. isn’t your answer
Option D.
2(2m - 20)
= 2(2m) + 2(-20)
= 4m - 40
Option D. also isn’t your answer just like Option C.
FACTORS OF: 4m - 20
4: 1,2,4, & m
20: 1,2,4,5,10,& 20
LIKE TERMS: 1,2,4
GCF: 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
tetrahedral
Step-by-step explanation:
According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.
The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.
If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.
Answer:
This function would be even.
Step-by-step explanation:
You can tell a function is even if you plug in -x for x and then simplify and it is the same function. This is the case below.
y = 2x^4 + 2x^2 ----> Plug in -x
y = 2(-x)^4 + 2(-x)^2 ----> Simplify
y = 2x^4 + 2x^2
You'll notice the simplified version is exactly the same as the original, which makes it odd.